Least Common Multiple of 765, 705, 153

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 765, 705, 153 i.e. 35955 smallest integer divisible by all numbers.

Least common multiple (LCM) of 765, 705, 153 is 35955.

LCM(765, 705, 153) = 35955

LCM of 765, 705, 153

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

LCM of:

Least Common Multiple of 765,705,153

Least Common Multiple (LCM) of 765,705,153 is 35955

3 765, 705, 153
3 255, 235, 51
5 85, 235, 17
17 17, 47, 17
1, 47, 1

∴ So the LCM of the given numbers is 3 x 3 x 5 x 17 x 1 x 47 x 1 = 35955

Least Common Multiple of 765,705,153 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 765,705,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,705,153) = 3

common factors(in case of two or more numbers have common factors) = 765

GCF(765,705,153) x common factors =3 x 765 = 2295

LCM(765,705,153) = ( 765 × 705 × 153 ) / 2295

LCM(765,705,153) = 82516725 / 2295

LCM(765,705,153) = 35955

∴ Least Common Multiple of 765,705,153 is 35955

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 765, 705, 153

1. What is the LCM of 765, 705, 153?

Answer: LCM of 765, 705, 153 is 35955.

2. What are the Factors of 35955?

Answer: Factors of 35955 are . There are integers that are factors of 35955

3. How to Find the LCM of 765, 705, 153 ?

Least Common Multiple of 765, 705, 153.

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(765, 705, 153) = 3 x 3 x 5 x 17 x 47 = 35955.