Least Common Multiple of 425/684, 8912/7657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 425/684, 8912/7657 quickly i.e. 3787600/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 425/684, 8912/7657 is 3787600/19.

LCM(425/684, 8912/7657) = 3787600/19

LCM of 425/684, 8912/7657

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 425/684,8912/7657

Given numbers are 425/684,8912/7657

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 425,8912

Least Common Multiple of Numerators i.e. LCM of 425,8912 is 3787600.

GCF of Denominators means GCF of 684,7657 as per the given fractions.

GCF of 684,7657 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 425,8912

LCM of Fractions 425/684,8912/7657 is 3787600/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 3787600

Least Common Multiple of 425,8912 with GCF Formula

Least Common Multiple of 425,8912 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 425,8912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,8912) = 1

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

GCF(425,8912) x common factors =1 x 1 = 1

LCM(425,8912) = ( 425 × 8912 ) / 1

LCM(425,8912) = 3787600 / 1

LCM(425,8912) = 3787600


Lets's calculate GCF of 684,7657

19 684, 7657
36, 403

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3787600/19

Therefore the LCM of Fractions 425/684,8912/7657 is 3787600/19

Greatest Common Factor of 684,7657 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,7657 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 7657

List of positive integer factors of 7657 that divides 7657 without a remainder.

1,13,19,31,247,403,589,7657

Greatest Common Factor

We found the factors 684,7657 . The biggest common factor number is the GCF number.
So the greatest common factor 684,7657 is 19.


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 425/684, 8912/7657

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 425/684, 8912/7657?

Answer: LCM of Numerators as per given numbers 425/684, 8912/7657 is

LCM of Numerators i.e. for 425,8912 is 3787600

GCF of denominators i.e. for 684,7657 is 19.

Thus, LCM of Fractions is 3787600/19.Finally, LCM of Fractions for 425/684, 8912/7657 is 3787600/19.