Least Common Multiple of 3710/128, 8428/9957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3710/128, 8428/9957 quickly i.e. 2233420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3710/128, 8428/9957 is 2233420.

LCM(3710/128, 8428/9957) = 2233420

LCM of 3710/128, 8428/9957

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 3710/128,8428/9957

Given numbers are 3710/128,8428/9957

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 3710,8428

Least Common Multiple of Numerators i.e. LCM of 3710,8428 is 2233420.

GCF of Denominators means GCF of 128,9957 as per the given fractions.

GCF of 128,9957 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3710,8428

LCM of Fractions 3710/128,8428/9957 is 2233420

2 3710, 8428
7 1855, 4214
265, 602

∴ So the LCM of the given numbers is 2 x 7 x 265 x 602 = 2233420

Least Common Multiple of 3710,8428 with GCF Formula

Least Common Multiple of 3710,8428 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 3710,8428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3710,8428) = 14

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

GCF(3710,8428) x common factors =14 x 1 = 14

LCM(3710,8428) = ( 3710 × 8428 ) / 14

LCM(3710,8428) = 31267880 / 14

LCM(3710,8428) = 2233420


Lets's calculate GCF of 128,9957

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2233420/1

Therefore the LCM of Fractions 3710/128,8428/9957 is 2233420

Greatest Common Factor of 128,9957 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,9957 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 9957

List of positive integer factors of 9957 that divides 9957 without a remainder.

1,3,3319,9957

Greatest Common Factor

We found the factors 128,9957 . The biggest common factor number is the GCF number.
So the greatest common factor 128,9957 is 1.


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 3710/128, 8428/9957

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 3710/128, 8428/9957?

Answer: LCM of Numerators as per given numbers 3710/128, 8428/9957 is

LCM of Numerators i.e. for 3710,8428 is 2233420

GCF of denominators i.e. for 128,9957 is 1.

Thus, LCM of Fractions is 2233420.Finally, LCM of Fractions for 3710/128, 8428/9957 is 2233420.