Least Common Multiple of 135, 306, 412, 969, 667

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 135, 306, 412, 969, 667 i.e. 11982828420 smallest integer divisible by all numbers.

Least common multiple (LCM) of 135, 306, 412, 969, 667 is 11982828420.

LCM(135, 306, 412, 969, 667) = 11982828420

LCM of 135, 306, 412, 969, 667

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

LCM of:

Least Common Multiple of 135,306,412,969,667

Least Common Multiple (LCM) of 135,306,412,969,667 is 11982828420

2 135, 306, 412, 969, 667
3 135, 153, 206, 969, 667
3 45, 51, 206, 323, 667
17 15, 17, 206, 323, 667
15, 1, 206, 19, 667

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 15 x 1 x 206 x 19 x 667 = 11982828420

Least Common Multiple of 135,306,412,969,667 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 135,306,412,969,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,306,412,969,667) = 1

common factors(in case of two or more numbers have common factors) = 918

GCF(135,306,412,969,667) x common factors =1 x 918 = 918

LCM(135,306,412,969,667) = ( 135 × 306 × 412 × 969 × 667 ) / 918

LCM(135,306,412,969,667) = 11000236489560 / 918

LCM(135,306,412,969,667) = 11982828420

∴ Least Common Multiple of 135,306,412,969,667 is 11982828420

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 135, 306, 412, 969, 667

1. What is the LCM of 135, 306, 412, 969, 667?

Answer: LCM of 135, 306, 412, 969, 667 is 11982828420.

2. What are the Factors of 11982828420?

Answer: Factors of 11982828420 are . There are integers that are factors of 11982828420

3. How to Find the LCM of 135, 306, 412, 969, 667 ?

Least Common Multiple of 135, 306, 412, 969, 667.

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(135, 306, 412, 969, 667) = 2 x 2 x 3 x 3 x 3 x 5 x 17 x 19 x 23 x 29 x 103 = 11982828420.