Least Common Multiple of 705, 690, 920

Q: How to Find the LCM of 705, 690, 920 ?

Least Common Multiple of 705, 690, 920 = 129720 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(705, 690, 920) = 2 x 2 x 2 x 3 x 5 x 23 x 47 = 129720.

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 705, 690, 920 i.e. 129720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 705, 690, 920 is 129720.

LCM(705, 690, 920) = 129720

LCM of 705, 690, 920

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

Least Common Multiple of 705, 690, 920 by common division method
Least Common Multiple of 705, 690, 920 with GCF Formula

Least Common Multiple of 705,690,920

Least Common Multiple (LCM) of 705,690,920 is 129720

2	705, 690, 920
3	705, 345, 460
5	235, 115, 460
23	47, 23, 92
	47, 1, 4

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 47 x 1 x 4 = 129720

Least Common Multiple of 705,690,920 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 705,690,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,690,920) = 5

common factors(in case of two or more numbers have common factors) = 690

GCF(705,690,920) x common factors =5 x 690 = 3450

LCM(705,690,920) = ( 705 × 690 × 920 ) / 3450

LCM(705,690,920) = 447534000 / 3450

LCM(705,690,920) = 129720

∴ Least Common Multiple of 705,690,920 is 129720

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 705, 690, 920

1. What is the LCM of 705, 690, 920?

Answer: LCM of 705, 690, 920 is 129720.

2. What are the Factors of 129720?

Answer: Factors of 129720 are . There are integers that are factors of 129720

3. How to Find the LCM of 705, 690, 920 ?

Least Common Multiple of 705, 690, 920.

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(705, 690, 920) = 2 x 2 x 2 x 3 x 5 x 23 x 47 = 129720.