Least Common Multiple of 224, 438

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, 438 i.e. 49056 smallest integer divisible by all numbers.

Least common multiple (LCM) of 224, 438 is 49056.

LCM(224, 438) = 49056

LCM of 224, 438

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

LCM of:

Least Common Multiple of 224,438

Least Common Multiple (LCM) of 224,438 is 49056

2 224, 438
112, 219

∴ So the LCM of the given numbers is 2 x 112 x 219 = 49056

Least Common Multiple of 224,438 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 224,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,438) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(224,438) x common factors =2 x 1 = 2

LCM(224,438) = ( 224 × 438 ) / 2

LCM(224,438) = 98112 / 2

LCM(224,438) = 49056

∴ Least Common Multiple of 224,438 is 49056

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 224, 438

1. What is the LCM of 224, 438?

Answer: LCM of 224, 438 is 49056.

2. What are the Factors of 49056?

Answer: Factors of 49056 are . There are integers that are factors of 49056

3. How to Find the LCM of 224, 438 ?

Least Common Multiple of 224, 438.

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, 438) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 73 = 49056.