Least Common Multiple of 26, 12, 735

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 26, 12, 735 i.e. 38220 smallest integer divisible by all numbers.

Least common multiple (LCM) of 26, 12, 735 is 38220.

LCM(26, 12, 735) = 38220

LCM of 26, 12, 735

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

LCM of:

Least Common Multiple of 26,12,735

Least Common Multiple (LCM) of 26,12,735 is 38220

2 26, 12, 735
3 13, 6, 735
13, 2, 245

∴ So the LCM of the given numbers is 2 x 3 x 13 x 2 x 245 = 38220

Least Common Multiple of 26,12,735 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 26,12,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,12,735) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(26,12,735) x common factors =1 x 6 = 6

LCM(26,12,735) = ( 26 × 12 × 735 ) / 6

LCM(26,12,735) = 229320 / 6

LCM(26,12,735) = 38220

∴ Least Common Multiple of 26,12,735 is 38220

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 26, 12, 735

1. What is the LCM of 26, 12, 735?

Answer: LCM of 26, 12, 735 is 38220.

2. What are the Factors of 38220?

Answer: Factors of 38220 are . There are integers that are factors of 38220

3. How to Find the LCM of 26, 12, 735 ?

Least Common Multiple of 26, 12, 735.

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(26, 12, 735) = 2 x 2 x 3 x 5 x 7 x 7 x 13 = 38220.