Least Common Multiple of 8480/56, 3696/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8480/56, 3696/141 quickly i.e. 1958880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8480/56, 3696/141 is 1958880.

LCM(8480/56, 3696/141) = 1958880

LCM of 8480/56, 3696/141

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 8480/56,3696/141

Given numbers are 8480/56,3696/141

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 8480,3696

Least Common Multiple of Numerators i.e. LCM of 8480,3696 is 1958880.

GCF of Denominators means GCF of 56,141 as per the given fractions.

GCF of 56,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8480,3696

LCM of Fractions 8480/56,3696/141 is 1958880

2 8480, 3696
2 4240, 1848
2 2120, 924
2 1060, 462
530, 231

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 530 x 231 = 1958880

Least Common Multiple of 8480,3696 with GCF Formula

Least Common Multiple of 8480,3696 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 8480,3696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8480,3696) = 16

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

GCF(8480,3696) x common factors =16 x 1 = 16

LCM(8480,3696) = ( 8480 × 3696 ) / 16

LCM(8480,3696) = 31342080 / 16

LCM(8480,3696) = 1958880


Lets's calculate GCF of 56,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1958880/1

Therefore the LCM of Fractions 8480/56,3696/141 is 1958880

Greatest Common Factor of 56,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,141 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 56,141 . The biggest common factor number is the GCF number.
So the greatest common factor 56,141 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8480/56, 3696/141

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 8480/56, 3696/141?

Answer: LCM of Numerators as per given numbers 8480/56, 3696/141 is

LCM of Numerators i.e. for 8480,3696 is 1958880

GCF of denominators i.e. for 56,141 is 1.

Thus, LCM of Fractions is 1958880.Finally, LCM of Fractions for 8480/56, 3696/141 is 1958880.