Least Common Multiple of 864, 117, 738, 574

Q: How to Find the LCM of 864, 117, 738, 574 ?

Least Common Multiple of 864, 117, 738, 574 = 3223584 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(864, 117, 738, 574) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 13 x 41 = 3223584.

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 864, 117, 738, 574 i.e. 3223584 smallest integer divisible by all numbers.

Least common multiple (LCM) of 864, 117, 738, 574 is 3223584.

LCM(864, 117, 738, 574) = 3223584

LCM of 864, 117, 738, 574

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

Least Common Multiple of 864, 117, 738, 574 by common division method
Least Common Multiple of 864, 117, 738, 574 with GCF Formula

Least Common Multiple of 864,117,738,574

Least Common Multiple (LCM) of 864,117,738,574 is 3223584

2	864, 117, 738, 574
3	432, 117, 369, 287
3	144, 39, 123, 287
41	48, 13, 41, 287
	48, 13, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 41 x 48 x 13 x 1 x 7 = 3223584

Least Common Multiple of 864,117,738,574 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 864,117,738,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,117,738,574) = 1

common factors(in case of two or more numbers have common factors) = 13284

GCF(864,117,738,574) x common factors =1 x 13284 = 13284

LCM(864,117,738,574) = ( 864 × 117 × 738 × 574 ) / 13284

LCM(864,117,738,574) = 42822089856 / 13284

LCM(864,117,738,574) = 3223584

∴ Least Common Multiple of 864,117,738,574 is 3223584

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 864, 117, 738, 574

1. What is the LCM of 864, 117, 738, 574?

Answer: LCM of 864, 117, 738, 574 is 3223584.

2. What are the Factors of 3223584?

Answer: Factors of 3223584 are . There are integers that are factors of 3223584

3. How to Find the LCM of 864, 117, 738, 574 ?

Least Common Multiple of 864, 117, 738, 574.

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(864, 117, 738, 574) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 13 x 41 = 3223584.