Least Common Multiple of 4960/89, 7745/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4960/89, 7745/951 quickly i.e. 7683040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4960/89, 7745/951 is 7683040.

LCM(4960/89, 7745/951) = 7683040

LCM of 4960/89, 7745/951

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 4960/89,7745/951

Given numbers are 4960/89,7745/951

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 4960,7745

Least Common Multiple of Numerators i.e. LCM of 4960,7745 is 7683040.

GCF of Denominators means GCF of 89,951 as per the given fractions.

GCF of 89,951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4960,7745

LCM of Fractions 4960/89,7745/951 is 7683040

5 4960, 7745
992, 1549

∴ So the LCM of the given numbers is 5 x 992 x 1549 = 7683040

Least Common Multiple of 4960,7745 with GCF Formula

Least Common Multiple of 4960,7745 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 4960,7745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4960,7745) = 5

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

GCF(4960,7745) x common factors =5 x 1 = 5

LCM(4960,7745) = ( 4960 × 7745 ) / 5

LCM(4960,7745) = 38415200 / 5

LCM(4960,7745) = 7683040


Lets's calculate GCF of 89,951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7683040/1

Therefore the LCM of Fractions 4960/89,7745/951 is 7683040

Greatest Common Factor of 89,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,951 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 89,951 . The biggest common factor number is the GCF number.
So the greatest common factor 89,951 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 4960/89, 7745/951

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 4960/89, 7745/951?

Answer: LCM of Numerators as per given numbers 4960/89, 7745/951 is

LCM of Numerators i.e. for 4960,7745 is 7683040

GCF of denominators i.e. for 89,951 is 1.

Thus, LCM of Fractions is 7683040.Finally, LCM of Fractions for 4960/89, 7745/951 is 7683040.