Least Common Multiple of 224, 196, 406

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 224, 196, 406 i.e. 45472 smallest integer divisible by all numbers.

Least common multiple (LCM) of 224, 196, 406 is 45472.

LCM(224, 196, 406) = 45472

LCM of 224, 196, 406

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

LCM of:

Least Common Multiple of 224,196,406

Least Common Multiple (LCM) of 224,196,406 is 45472

2 224, 196, 406
2 112, 98, 203
7 56, 49, 203
8, 7, 29

∴ So the LCM of the given numbers is 2 x 2 x 7 x 8 x 7 x 29 = 45472

Least Common Multiple of 224,196,406 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 224,196,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,196,406) = 14

common factors(in case of two or more numbers have common factors) = 28

GCF(224,196,406) x common factors =14 x 28 = 392

LCM(224,196,406) = ( 224 × 196 × 406 ) / 392

LCM(224,196,406) = 17825024 / 392

LCM(224,196,406) = 45472

∴ Least Common Multiple of 224,196,406 is 45472

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 224, 196, 406

1. What is the LCM of 224, 196, 406?

Answer: LCM of 224, 196, 406 is 45472.

2. What are the Factors of 45472?

Answer: Factors of 45472 are . There are integers that are factors of 45472

3. How to Find the LCM of 224, 196, 406 ?

Least Common Multiple of 224, 196, 406.

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(224, 196, 406) = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 29 = 45472.