Least Common Multiple of 675/676, 3790/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/676, 3790/314 quickly i.e. 255825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/676, 3790/314 is 255825.

LCM(675/676, 3790/314) = 255825

LCM of 675/676, 3790/314

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 675/676,3790/314

Given numbers are 675/676,3790/314

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 675,3790

Least Common Multiple of Numerators i.e. LCM of 675,3790 is 511650.

GCF of Denominators means GCF of 676,314 as per the given fractions.

GCF of 676,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,3790

LCM of Fractions 675/676,3790/314 is 255825

5 675, 3790
135, 758

∴ So the LCM of the given numbers is 5 x 135 x 758 = 511650

Least Common Multiple of 675,3790 with GCF Formula

Least Common Multiple of 675,3790 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 675,3790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,3790) = 5

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

GCF(675,3790) x common factors =5 x 1 = 5

LCM(675,3790) = ( 675 × 3790 ) / 5

LCM(675,3790) = 2558250 / 5

LCM(675,3790) = 511650


Lets's calculate GCF of 676,314

2 676, 314
338, 157

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 511650/2

Therefore the LCM of Fractions 675/676,3790/314 is 255825

Greatest Common Factor of 676,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,314 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 676,314 . The biggest common factor number is the GCF number.
So the greatest common factor 676,314 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 675/676, 3790/314

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 675/676, 3790/314?

Answer: LCM of Numerators as per given numbers 675/676, 3790/314 is

LCM of Numerators i.e. for 675,3790 is 511650

GCF of denominators i.e. for 676,314 is 2.

Thus, LCM of Fractions is 255825.Finally, LCM of Fractions for 675/676, 3790/314 is 255825.