Least Common Multiple of 284, 224, 205, 288, 948

Q: How to Find the LCM of 284, 224, 205, 288, 948 ?

Least Common Multiple of 284, 224, 205, 288, 948 = 2318087520 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(284, 224, 205, 288, 948) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 41 x 71 x 79 = 2318087520.

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 284, 224, 205, 288, 948 i.e. 2318087520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 284, 224, 205, 288, 948 is 2318087520.

LCM(284, 224, 205, 288, 948) = 2318087520

LCM of 284, 224, 205, 288, 948

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

Least Common Multiple of 284, 224, 205, 288, 948 by common division method
Least Common Multiple of 284, 224, 205, 288, 948 with GCF Formula

Least Common Multiple of 284,224,205,288,948

Least Common Multiple (LCM) of 284,224,205,288,948 is 2318087520

2	284, 224, 205, 288, 948
2	142, 112, 205, 144, 474
2	71, 56, 205, 72, 237
2	71, 28, 205, 36, 237
2	71, 14, 205, 18, 237
3	71, 7, 205, 9, 237
	71, 7, 205, 3, 79

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 71 x 7 x 205 x 3 x 79 = 2318087520

Least Common Multiple of 284,224,205,288,948 with GCF Formula

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

We need to calculate greatest common factor of 284,224,205,288,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,224,205,288,948) = 1

common factors(in case of two or more numbers have common factors) = 1536

GCF(284,224,205,288,948) x common factors =1 x 1536 = 1536

LCM(284,224,205,288,948) = ( 284 × 224 × 205 × 288 × 948 ) / 1536

LCM(284,224,205,288,948) = 3560582430720 / 1536

LCM(284,224,205,288,948) = 2318087520

∴ Least Common Multiple of 284,224,205,288,948 is 2318087520

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 284, 224, 205, 288, 948

1. What is the LCM of 284, 224, 205, 288, 948?

Answer: LCM of 284, 224, 205, 288, 948 is 2318087520.

2. What are the Factors of 2318087520?

Answer: Factors of 2318087520 are . There are integers that are factors of 2318087520

3. How to Find the LCM of 284, 224, 205, 288, 948 ?

Least Common Multiple of 284, 224, 205, 288, 948.

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(284, 224, 205, 288, 948) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 41 x 71 x 79 = 2318087520.