Least Common Multiple of 76/260, 55/522, 648/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/260, 55/522, 648/295 quickly i.e. 677160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/260, 55/522, 648/295 is 677160.

LCM(76/260, 55/522, 648/295) = 677160

LCM of 76/260, 55/522, 648/295

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 76/260,55/522,648/295

Given numbers are 76/260,55/522,648/295

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 76,55,648

Least Common Multiple of Numerators i.e. LCM of 76,55,648 is 677160.

GCF of Denominators means GCF of 260,522,295 as per the given fractions.

GCF of 260,522,295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,55,648

LCM of Fractions 76/260,55/522,648/295 is 677160

2 76, 55, 648
2 38, 55, 324
19, 55, 162

∴ So the LCM of the given numbers is 2 x 2 x 19 x 55 x 162 = 677160

Least Common Multiple of 76,55,648 with GCF Formula

Least Common Multiple of 76,55,648 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 76,55,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,55,648) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,55,648) x common factors =1 x 4 = 4

LCM(76,55,648) = ( 76 × 55 × 648 ) / 4

LCM(76,55,648) = 2708640 / 4

LCM(76,55,648) = 677160


Lets's calculate GCF of 260,522,295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 677160/1

Therefore the LCM of Fractions 76/260,55/522,648/295 is 677160

Greatest Common Factor of 260,522,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,522,295 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 260,522,295 . The biggest common factor number is the GCF number.
So the greatest common factor 260,522,295 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 76/260, 55/522, 648/295

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 76/260, 55/522, 648/295?

Answer: LCM of Numerators as per given numbers 76/260, 55/522, 648/295 is

LCM of Numerators i.e. for 76,55,648 is 677160

GCF of denominators i.e. for 260,522,295 is 1.

Thus, LCM of Fractions is 677160.Finally, LCM of Fractions for 76/260, 55/522, 648/295 is 677160.