Least Common Multiple of 687/371, 7815/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 687/371, 7815/620 quickly i.e. 1789635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/371, 7815/620 is 1789635.

LCM(687/371, 7815/620) = 1789635

LCM of 687/371, 7815/620

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 687/371,7815/620

Given numbers are 687/371,7815/620

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 687,7815

Least Common Multiple of Numerators i.e. LCM of 687,7815 is 1789635.

GCF of Denominators means GCF of 371,620 as per the given fractions.

GCF of 371,620 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,7815

LCM of Fractions 687/371,7815/620 is 1789635

3 687, 7815
229, 2605

∴ So the LCM of the given numbers is 3 x 229 x 2605 = 1789635

Least Common Multiple of 687,7815 with GCF Formula

Least Common Multiple of 687,7815 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 687,7815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,7815) = 3

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

GCF(687,7815) x common factors =3 x 1 = 3

LCM(687,7815) = ( 687 × 7815 ) / 3

LCM(687,7815) = 5368905 / 3

LCM(687,7815) = 1789635


Lets's calculate GCF of 371,620

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1789635/1

Therefore the LCM of Fractions 687/371,7815/620 is 1789635

Greatest Common Factor of 371,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,620 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 371,620 . The biggest common factor number is the GCF number.
So the greatest common factor 371,620 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 687/371, 7815/620

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 687/371, 7815/620?

Answer: LCM of Numerators as per given numbers 687/371, 7815/620 is

LCM of Numerators i.e. for 687,7815 is 1789635

GCF of denominators i.e. for 371,620 is 1.

Thus, LCM of Fractions is 1789635.Finally, LCM of Fractions for 687/371, 7815/620 is 1789635.