Least Common Multiple of 676/55, 546/21, 695/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/55, 546/21, 695/965 quickly i.e. 9866220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/55, 546/21, 695/965 is 9866220.

LCM(676/55, 546/21, 695/965) = 9866220

LCM of 676/55, 546/21, 695/965

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 676/55,546/21,695/965

Given numbers are 676/55,546/21,695/965

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 676,546,695

Least Common Multiple of Numerators i.e. LCM of 676,546,695 is 9866220.

GCF of Denominators means GCF of 55,21,965 as per the given fractions.

GCF of 55,21,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,546,695

LCM of Fractions 676/55,546/21,695/965 is 9866220

2 676, 546, 695
13 338, 273, 695
26, 21, 695

∴ So the LCM of the given numbers is 2 x 13 x 26 x 21 x 695 = 9866220

Least Common Multiple of 676,546,695 with GCF Formula

Least Common Multiple of 676,546,695 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 676,546,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,546,695) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(676,546,695) x common factors =1 x 26 = 26

LCM(676,546,695) = ( 676 × 546 × 695 ) / 26

LCM(676,546,695) = 256521720 / 26

LCM(676,546,695) = 9866220


Lets's calculate GCF of 55,21,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9866220/1

Therefore the LCM of Fractions 676/55,546/21,695/965 is 9866220

Greatest Common Factor of 55,21,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,21,965 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 55,21,965 . The biggest common factor number is the GCF number.
So the greatest common factor 55,21,965 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 676/55, 546/21, 695/965

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 676/55, 546/21, 695/965?

Answer: LCM of Numerators as per given numbers 676/55, 546/21, 695/965 is

LCM of Numerators i.e. for 676,546,695 is 9866220

GCF of denominators i.e. for 55,21,965 is 1.

Thus, LCM of Fractions is 9866220.Finally, LCM of Fractions for 676/55, 546/21, 695/965 is 9866220.