Least Common Multiple of 54, 78, 72, 750

Q: How to Find the LCM of 54, 78, 72, 750 ?

Least Common Multiple of 54, 78, 72, 750 = 351000 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(54, 78, 72, 750) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 13 = 351000.

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 54, 78, 72, 750 i.e. 351000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 78, 72, 750 is 351000.

LCM(54, 78, 72, 750) = 351000

LCM of 54, 78, 72, 750

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

Least Common Multiple of 54, 78, 72, 750 by common division method
Least Common Multiple of 54, 78, 72, 750 with GCF Formula

Least Common Multiple of 54,78,72,750

Least Common Multiple (LCM) of 54,78,72,750 is 351000

2	54, 78, 72, 750
3	27, 39, 36, 375
3	9, 13, 12, 125
	3, 13, 4, 125

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 13 x 4 x 125 = 351000

Least Common Multiple of 54,78,72,750 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 54,78,72,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,78,72,750) = 6

common factors(in case of two or more numbers have common factors) = 108

GCF(54,78,72,750) x common factors =6 x 108 = 648

LCM(54,78,72,750) = ( 54 × 78 × 72 × 750 ) / 648

LCM(54,78,72,750) = 227448000 / 648

LCM(54,78,72,750) = 351000

∴ Least Common Multiple of 54,78,72,750 is 351000

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 54, 78, 72, 750

1. What is the LCM of 54, 78, 72, 750?

Answer: LCM of 54, 78, 72, 750 is 351000.

2. What are the Factors of 351000?

Answer: Factors of 351000 are . There are integers that are factors of 351000

3. How to Find the LCM of 54, 78, 72, 750 ?

Least Common Multiple of 54, 78, 72, 750.

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(54, 78, 72, 750) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 13 = 351000.