Least Common Multiple of 48, 624, 715

Q: How to Find the LCM of 48, 624, 715 ?

Least Common Multiple of 48, 624, 715 = 34320 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(48, 624, 715) = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 13 = 34320.

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 48, 624, 715 i.e. 34320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 48, 624, 715 is 34320.

LCM(48, 624, 715) = 34320

LCM of 48, 624, 715

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

Least Common Multiple of 48, 624, 715 by common division method
Least Common Multiple of 48, 624, 715 with GCF Formula

Least Common Multiple of 48,624,715

Least Common Multiple (LCM) of 48,624,715 is 34320

2	48, 624, 715
2	24, 312, 715
2	12, 156, 715
2	6, 78, 715
3	3, 39, 715
13	1, 13, 715
	1, 1, 55

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 13 x 1 x 1 x 55 = 34320

Least Common Multiple of 48,624,715 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 48,624,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,624,715) = 1

common factors(in case of two or more numbers have common factors) = 624

GCF(48,624,715) x common factors =1 x 624 = 624

LCM(48,624,715) = ( 48 × 624 × 715 ) / 624

LCM(48,624,715) = 21415680 / 624

LCM(48,624,715) = 34320

∴ Least Common Multiple of 48,624,715 is 34320

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 48, 624, 715

1. What is the LCM of 48, 624, 715?

Answer: LCM of 48, 624, 715 is 34320.

2. What are the Factors of 34320?

Answer: Factors of 34320 are . There are integers that are factors of 34320

3. How to Find the LCM of 48, 624, 715 ?

Least Common Multiple of 48, 624, 715.

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(48, 624, 715) = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 13 = 34320.