Least Common Multiple of 85/80, 749/93, 635/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/80, 749/93, 635/968 quickly i.e. 8085455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/80, 749/93, 635/968 is 8085455.

LCM(85/80, 749/93, 635/968) = 8085455

LCM of 85/80, 749/93, 635/968

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 85/80,749/93,635/968

Given numbers are 85/80,749/93,635/968

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 85,749,635

Least Common Multiple of Numerators i.e. LCM of 85,749,635 is 8085455.

GCF of Denominators means GCF of 80,93,968 as per the given fractions.

GCF of 80,93,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,749,635

LCM of Fractions 85/80,749/93,635/968 is 8085455

5 85, 749, 635
17, 749, 127

∴ So the LCM of the given numbers is 5 x 17 x 749 x 127 = 8085455

Least Common Multiple of 85,749,635 with GCF Formula

Least Common Multiple of 85,749,635 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 85,749,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,749,635) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,749,635) x common factors =1 x 5 = 5

LCM(85,749,635) = ( 85 × 749 × 635 ) / 5

LCM(85,749,635) = 40427275 / 5

LCM(85,749,635) = 8085455


Lets's calculate GCF of 80,93,968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8085455/1

Therefore the LCM of Fractions 85/80,749/93,635/968 is 8085455

Greatest Common Factor of 80,93,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,93,968 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 80,93,968 . The biggest common factor number is the GCF number.
So the greatest common factor 80,93,968 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 85/80, 749/93, 635/968

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 85/80, 749/93, 635/968?

Answer: LCM of Numerators as per given numbers 85/80, 749/93, 635/968 is

LCM of Numerators i.e. for 85,749,635 is 8085455

GCF of denominators i.e. for 80,93,968 is 1.

Thus, LCM of Fractions is 8085455.Finally, LCM of Fractions for 85/80, 749/93, 635/968 is 8085455.