Least Common Multiple of 87/398, 68/939, 889/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/398, 68/939, 889/113 quickly i.e. 5259324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/398, 68/939, 889/113 is 5259324.

LCM(87/398, 68/939, 889/113) = 5259324

LCM of 87/398, 68/939, 889/113

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 87/398,68/939,889/113

Given numbers are 87/398,68/939,889/113

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 87,68,889

Least Common Multiple of Numerators i.e. LCM of 87,68,889 is 5259324.

GCF of Denominators means GCF of 398,939,113 as per the given fractions.

GCF of 398,939,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,68,889

LCM of Fractions 87/398,68/939,889/113 is 5259324

Given numbers has no common factors except 1. So, there LCM is their product i.e 5259324

Least Common Multiple of 87,68,889 with GCF Formula

Least Common Multiple of 87,68,889 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 87,68,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,68,889) = 1

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

GCF(87,68,889) x common factors =1 x 1 = 1

LCM(87,68,889) = ( 87 × 68 × 889 ) / 1

LCM(87,68,889) = 5259324 / 1

LCM(87,68,889) = 5259324


Lets's calculate GCF of 398,939,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5259324/1

Therefore the LCM of Fractions 87/398,68/939,889/113 is 5259324

Greatest Common Factor of 398,939,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,939,113 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 398,939,113 . The biggest common factor number is the GCF number.
So the greatest common factor 398,939,113 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 87/398, 68/939, 889/113

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 87/398, 68/939, 889/113?

Answer: LCM of Numerators as per given numbers 87/398, 68/939, 889/113 is

LCM of Numerators i.e. for 87,68,889 is 5259324

GCF of denominators i.e. for 398,939,113 is 1.

Thus, LCM of Fractions is 5259324.Finally, LCM of Fractions for 87/398, 68/939, 889/113 is 5259324.