Least Common Multiple of 53, 48, 738

Q: How to Find the LCM of 53, 48, 738 ?

Least Common Multiple of 53, 48, 738 = 312912 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(53, 48, 738) = 2 x 2 x 2 x 2 x 3 x 3 x 41 x 53 = 312912.

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 53, 48, 738 i.e. 312912 smallest integer divisible by all numbers.

Least common multiple (LCM) of 53, 48, 738 is 312912.

LCM(53, 48, 738) = 312912

LCM of 53, 48, 738

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

Least Common Multiple of 53, 48, 738 by common division method
Least Common Multiple of 53, 48, 738 with GCF Formula

Least Common Multiple of 53,48,738

Least Common Multiple (LCM) of 53,48,738 is 312912

2	53, 48, 738
3	53, 24, 369
	53, 8, 123

∴ So the LCM of the given numbers is 2 x 3 x 53 x 8 x 123 = 312912

Least Common Multiple of 53,48,738 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 53,48,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,48,738) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(53,48,738) x common factors =1 x 6 = 6

LCM(53,48,738) = ( 53 × 48 × 738 ) / 6

LCM(53,48,738) = 1877472 / 6

LCM(53,48,738) = 312912

∴ Least Common Multiple of 53,48,738 is 312912

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 53, 48, 738

1. What is the LCM of 53, 48, 738?

Answer: LCM of 53, 48, 738 is 312912.

2. What are the Factors of 312912?

Answer: Factors of 312912 are . There are integers that are factors of 312912

3. How to Find the LCM of 53, 48, 738 ?

Least Common Multiple of 53, 48, 738.

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(53, 48, 738) = 2 x 2 x 2 x 2 x 3 x 3 x 41 x 53 = 312912.