Continuous division method of 56 and 40 is 280
The LCM (Least Common Multiple) is the "lowest common denominator" (LCD) that can be used before fractions can be added, subtracted or compared. The LCM of more than two integers is also well-defined: it is the smallest positive integer that is divisible by each of them.
In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b). It is the smallest positive integer that is divisible by both a and b.
The Least Common Multiple (LCM) of numbers 56 and 40 is 280.
40/2 = 20/2 = 10/2 = 5/5 = 1
56/2 = 28/2 = 14/2 = 7/7 = 1
2 x 2 x 2 x 5= 40
2 x 2 x 2 x 7 = 56
2 x 2 x 2 = 8, the GCF
2 x 2 x 2 x 5 x 7 = 280, the LCM
Grade: 9
Subject: mathematics
Chapter: Arithmetic
Keywords: continuous division, Math, Arithmetic, The Least Common Multiple, number
Following are the calculation to the given number by the Continuous division method:
Given:
56 and 40
To find:
Calculate value by Continuous division method=?
Solution:
56 and 40
Calculating the value by division:
[tex]\to \frac{40}{2} = \frac{20}{2} = \frac{10}{2} = \frac{5}{5} = 1\\\\\to \frac{56}{2} = \frac{28}{2} = \frac{14}{2} = \frac{7}{7} = 1[/tex]
Calculate value:
[tex]\to 2 \times 2 \times 2 \times 5= 40\\\\\to 2 \times 2 \times 2 \times 7 = 56[/tex]
Calculating the H.C.F:
[tex]\to 2 \times 2 \times 2 = 8[/tex]
Calculating the L.C.M:
[tex]\to 2 \times 2 \times 2 \times 5 \times 7 = 280[/tex]
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