Least Common Multiple of 240/51, 296/8529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/51, 296/8529 quickly i.e. 2960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/51, 296/8529 is 2960.

LCM(240/51, 296/8529) = 2960

LCM of 240/51, 296/8529

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 240/51,296/8529

Given numbers are 240/51,296/8529

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 240,296

Least Common Multiple of Numerators i.e. LCM of 240,296 is 8880.

GCF of Denominators means GCF of 51,8529 as per the given fractions.

GCF of 51,8529 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,296

LCM of Fractions 240/51,296/8529 is 2960

2 240, 296
2 120, 148
2 60, 74
30, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 30 x 37 = 8880

Least Common Multiple of 240,296 with GCF Formula

Least Common Multiple of 240,296 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 240,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,296) = 8

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

GCF(240,296) x common factors =8 x 1 = 8

LCM(240,296) = ( 240 × 296 ) / 8

LCM(240,296) = 71040 / 8

LCM(240,296) = 8880


Lets's calculate GCF of 51,8529

3 51, 8529
17, 2843

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8880/3

Therefore the LCM of Fractions 240/51,296/8529 is 2960

Greatest Common Factor of 51,8529 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,8529 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 8529

List of positive integer factors of 8529 that divides 8529 without a remainder.

1,3,2843,8529

Greatest Common Factor

We found the factors 51,8529 . The biggest common factor number is the GCF number.
So the greatest common factor 51,8529 is 3.


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 240/51, 296/8529

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 240/51, 296/8529?

Answer: LCM of Numerators as per given numbers 240/51, 296/8529 is

LCM of Numerators i.e. for 240,296 is 8880

GCF of denominators i.e. for 51,8529 is 3.

Thus, LCM of Fractions is 2960.Finally, LCM of Fractions for 240/51, 296/8529 is 2960.