Least Common Multiple of 45/387, 58/676, 653/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/387, 58/676, 653/663 quickly i.e. 1704330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/387, 58/676, 653/663 is 1704330.

LCM(45/387, 58/676, 653/663) = 1704330

LCM of 45/387, 58/676, 653/663

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 45/387,58/676,653/663

Given numbers are 45/387,58/676,653/663

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 45,58,653

Least Common Multiple of Numerators i.e. LCM of 45,58,653 is 1704330.

GCF of Denominators means GCF of 387,676,663 as per the given fractions.

GCF of 387,676,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,58,653

LCM of Fractions 45/387,58/676,653/663 is 1704330

Given numbers has no common factors except 1. So, there LCM is their product i.e 1704330

Least Common Multiple of 45,58,653 with GCF Formula

Least Common Multiple of 45,58,653 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 45,58,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,58,653) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(45,58,653) x common factors =1 x 1 = 1

LCM(45,58,653) = ( 45 × 58 × 653 ) / 1

LCM(45,58,653) = 1704330 / 1

LCM(45,58,653) = 1704330


Lets's calculate GCF of 387,676,663

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1704330/1

Therefore the LCM of Fractions 45/387,58/676,653/663 is 1704330

Greatest Common Factor of 387,676,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,676,663 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 387,676,663 . The biggest common factor number is the GCF number.
So the greatest common factor 387,676,663 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 45/387, 58/676, 653/663

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 45/387, 58/676, 653/663?

Answer: LCM of Numerators as per given numbers 45/387, 58/676, 653/663 is

LCM of Numerators i.e. for 45,58,653 is 1704330

GCF of denominators i.e. for 387,676,663 is 1.

Thus, LCM of Fractions is 1704330.Finally, LCM of Fractions for 45/387, 58/676, 653/663 is 1704330.