Least Common Multiple of 52, 72, 48, 704

Q: How to Find the LCM of 52, 72, 48, 704 ?

Least Common Multiple of 52, 72, 48, 704 = 82368 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(52, 72, 48, 704) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 13 = 82368.

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 52, 72, 48, 704 i.e. 82368 smallest integer divisible by all numbers.

Least common multiple (LCM) of 52, 72, 48, 704 is 82368.

LCM(52, 72, 48, 704) = 82368

LCM of 52, 72, 48, 704

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

Least Common Multiple of 52, 72, 48, 704 by common division method
Least Common Multiple of 52, 72, 48, 704 with GCF Formula

Least Common Multiple of 52,72,48,704

Least Common Multiple (LCM) of 52,72,48,704 is 82368

2	52, 72, 48, 704
2	26, 36, 24, 352
2	13, 18, 12, 176
2	13, 9, 6, 88
3	13, 9, 3, 44
	13, 1, 3, 44

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 13 x 1 x 3 x 44 = 82368

Least Common Multiple of 52,72,48,704 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 52,72,48,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,72,48,704) = 4

common factors(in case of two or more numbers have common factors) = 384

GCF(52,72,48,704) x common factors =4 x 384 = 1536

LCM(52,72,48,704) = ( 52 × 72 × 48 × 704 ) / 1536

LCM(52,72,48,704) = 126517248 / 1536

LCM(52,72,48,704) = 82368

∴ Least Common Multiple of 52,72,48,704 is 82368

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 52, 72, 48, 704

1. What is the LCM of 52, 72, 48, 704?

Answer: LCM of 52, 72, 48, 704 is 82368.

2. What are the Factors of 82368?

Answer: Factors of 82368 are . There are integers that are factors of 82368

3. How to Find the LCM of 52, 72, 48, 704 ?

Least Common Multiple of 52, 72, 48, 704.

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(52, 72, 48, 704) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 13 = 82368.