Least Common Multiple of 4287/313, 7197/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4287/313, 7197/910 quickly i.e. 10284513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4287/313, 7197/910 is 10284513.

LCM(4287/313, 7197/910) = 10284513

LCM of 4287/313, 7197/910

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 4287/313,7197/910

Given numbers are 4287/313,7197/910

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 4287,7197

Least Common Multiple of Numerators i.e. LCM of 4287,7197 is 10284513.

GCF of Denominators means GCF of 313,910 as per the given fractions.

GCF of 313,910 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4287,7197

LCM of Fractions 4287/313,7197/910 is 10284513

3 4287, 7197
1429, 2399

∴ So the LCM of the given numbers is 3 x 1429 x 2399 = 10284513

Least Common Multiple of 4287,7197 with GCF Formula

Least Common Multiple of 4287,7197 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 4287,7197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4287,7197) = 3

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

GCF(4287,7197) x common factors =3 x 1 = 3

LCM(4287,7197) = ( 4287 × 7197 ) / 3

LCM(4287,7197) = 30853539 / 3

LCM(4287,7197) = 10284513


Lets's calculate GCF of 313,910

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10284513/1

Therefore the LCM of Fractions 4287/313,7197/910 is 10284513

Greatest Common Factor of 313,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,910 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 313,910 . The biggest common factor number is the GCF number.
So the greatest common factor 313,910 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4287/313, 7197/910

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 4287/313, 7197/910?

Answer: LCM of Numerators as per given numbers 4287/313, 7197/910 is

LCM of Numerators i.e. for 4287,7197 is 10284513

GCF of denominators i.e. for 313,910 is 1.

Thus, LCM of Fractions is 10284513.Finally, LCM of Fractions for 4287/313, 7197/910 is 10284513.