Least Common Multiple of 46, 56, 414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 46, 56, 414 i.e. 11592 smallest integer divisible by all numbers.

Least common multiple (LCM) of 46, 56, 414 is 11592.

LCM(46, 56, 414) = 11592

LCM of 46, 56, 414

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 46,56,414

Least Common Multiple (LCM) of 46,56,414 is 11592

2 46, 56, 414
23 23, 28, 207
1, 28, 9

∴ So the LCM of the given numbers is 2 x 23 x 1 x 28 x 9 = 11592

Least Common Multiple of 46,56,414 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 46,56,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,56,414) = 2

common factors(in case of two or more numbers have common factors) = 46

GCF(46,56,414) x common factors =2 x 46 = 92

LCM(46,56,414) = ( 46 × 56 × 414 ) / 92

LCM(46,56,414) = 1066464 / 92

LCM(46,56,414) = 11592

∴ Least Common Multiple of 46,56,414 is 11592

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 46, 56, 414

1. What is the LCM of 46, 56, 414?

Answer: LCM of 46, 56, 414 is 11592.

2. What are the Factors of 11592?

Answer: Factors of 11592 are . There are integers that are factors of 11592

3. How to Find the LCM of 46, 56, 414 ?

Least Common Multiple of 46, 56, 414.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(46, 56, 414) = 2 x 2 x 2 x 3 x 3 x 7 x 23 = 11592.