Least Common Multiple of 68/862, 35/691, 913/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/862, 35/691, 913/627 quickly i.e. 2172940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/862, 35/691, 913/627 is 2172940.

LCM(68/862, 35/691, 913/627) = 2172940

LCM of 68/862, 35/691, 913/627

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 68/862,35/691,913/627

Given numbers are 68/862,35/691,913/627

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 68,35,913

Least Common Multiple of Numerators i.e. LCM of 68,35,913 is 2172940.

GCF of Denominators means GCF of 862,691,627 as per the given fractions.

GCF of 862,691,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,35,913

LCM of Fractions 68/862,35/691,913/627 is 2172940

Given numbers has no common factors except 1. So, there LCM is their product i.e 2172940

Least Common Multiple of 68,35,913 with GCF Formula

Least Common Multiple of 68,35,913 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 68,35,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,35,913) = 1

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

GCF(68,35,913) x common factors =1 x 1 = 1

LCM(68,35,913) = ( 68 × 35 × 913 ) / 1

LCM(68,35,913) = 2172940 / 1

LCM(68,35,913) = 2172940


Lets's calculate GCF of 862,691,627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2172940/1

Therefore the LCM of Fractions 68/862,35/691,913/627 is 2172940

Greatest Common Factor of 862,691,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,691,627 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 862,691,627 . The biggest common factor number is the GCF number.
So the greatest common factor 862,691,627 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 68/862, 35/691, 913/627

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 68/862, 35/691, 913/627?

Answer: LCM of Numerators as per given numbers 68/862, 35/691, 913/627 is

LCM of Numerators i.e. for 68,35,913 is 2172940

GCF of denominators i.e. for 862,691,627 is 1.

Thus, LCM of Fractions is 2172940.Finally, LCM of Fractions for 68/862, 35/691, 913/627 is 2172940.