Least Common Multiple of 240, 705, 940

Q: How to Find the LCM of 240, 705, 940 ?

Least Common Multiple of 240, 705, 940 = 11280 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(240, 705, 940) = 2 x 2 x 2 x 2 x 3 x 5 x 47 = 11280.

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 240, 705, 940 i.e. 11280 smallest integer divisible by all numbers.

Least common multiple (LCM) of 240, 705, 940 is 11280.

LCM(240, 705, 940) = 11280

LCM of 240, 705, 940

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

Least Common Multiple of 240, 705, 940 by common division method
Least Common Multiple of 240, 705, 940 with GCF Formula

Least Common Multiple of 240,705,940

Least Common Multiple (LCM) of 240,705,940 is 11280

2	240, 705, 940
2	120, 705, 470
3	60, 705, 235
5	20, 235, 235
47	4, 47, 47
	4, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 47 x 4 x 1 x 1 = 11280

Least Common Multiple of 240,705,940 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 240,705,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,705,940) = 5

common factors(in case of two or more numbers have common factors) = 2820

GCF(240,705,940) x common factors =5 x 2820 = 14100

LCM(240,705,940) = ( 240 × 705 × 940 ) / 14100

LCM(240,705,940) = 159048000 / 14100

LCM(240,705,940) = 11280

∴ Least Common Multiple of 240,705,940 is 11280

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 240, 705, 940

1. What is the LCM of 240, 705, 940?

Answer: LCM of 240, 705, 940 is 11280.

2. What are the Factors of 11280?

Answer: Factors of 11280 are . There are integers that are factors of 11280

3. How to Find the LCM of 240, 705, 940 ?

Least Common Multiple of 240, 705, 940.

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(240, 705, 940) = 2 x 2 x 2 x 2 x 3 x 5 x 47 = 11280.