Least Common Multiple of 83, 45, 249

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 83, 45, 249 i.e. 3735 smallest integer divisible by all numbers.

Least common multiple (LCM) of 83, 45, 249 is 3735.

LCM(83, 45, 249) = 3735

LCM of 83, 45, 249

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

LCM of:

Least Common Multiple of 83,45,249

Least Common Multiple (LCM) of 83,45,249 is 3735

3 83, 45, 249
83 83, 15, 83
1, 15, 1

∴ So the LCM of the given numbers is 3 x 83 x 1 x 15 x 1 = 3735

Least Common Multiple of 83,45,249 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 83,45,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,45,249) = 1

common factors(in case of two or more numbers have common factors) = 249

GCF(83,45,249) x common factors =1 x 249 = 249

LCM(83,45,249) = ( 83 × 45 × 249 ) / 249

LCM(83,45,249) = 930015 / 249

LCM(83,45,249) = 3735

∴ Least Common Multiple of 83,45,249 is 3735

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 83, 45, 249

1. What is the LCM of 83, 45, 249?

Answer: LCM of 83, 45, 249 is 3735.

2. What are the Factors of 3735?

Answer: Factors of 3735 are . There are integers that are factors of 3735

3. How to Find the LCM of 83, 45, 249 ?

Least Common Multiple of 83, 45, 249.

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(83, 45, 249) = 3 x 3 x 5 x 83 = 3735.