Least Common Multiple of 85/126, 679/11, 289/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/126, 679/11, 289/634 quickly i.e. 981155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/126, 679/11, 289/634 is 981155.

LCM(85/126, 679/11, 289/634) = 981155

LCM of 85/126, 679/11, 289/634

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 85/126,679/11,289/634

Given numbers are 85/126,679/11,289/634

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 85,679,289

Least Common Multiple of Numerators i.e. LCM of 85,679,289 is 981155.

GCF of Denominators means GCF of 126,11,634 as per the given fractions.

GCF of 126,11,634 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,679,289

LCM of Fractions 85/126,679/11,289/634 is 981155

17 85, 679, 289
5, 679, 17

∴ So the LCM of the given numbers is 17 x 5 x 679 x 17 = 981155

Least Common Multiple of 85,679,289 with GCF Formula

Least Common Multiple of 85,679,289 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 85,679,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,679,289) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(85,679,289) x common factors =1 x 17 = 17

LCM(85,679,289) = ( 85 × 679 × 289 ) / 17

LCM(85,679,289) = 16679635 / 17

LCM(85,679,289) = 981155


Lets's calculate GCF of 126,11,634

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 981155/1

Therefore the LCM of Fractions 85/126,679/11,289/634 is 981155

Greatest Common Factor of 126,11,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,11,634 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 126,11,634 . The biggest common factor number is the GCF number.
So the greatest common factor 126,11,634 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 85/126, 679/11, 289/634

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 85/126, 679/11, 289/634?

Answer: LCM of Numerators as per given numbers 85/126, 679/11, 289/634 is

LCM of Numerators i.e. for 85,679,289 is 981155

GCF of denominators i.e. for 126,11,634 is 1.

Thus, LCM of Fractions is 981155.Finally, LCM of Fractions for 85/126, 679/11, 289/634 is 981155.