Least Common Multiple of 48/861, 370/467, 455/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/861, 370/467, 455/262 quickly i.e. 808080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/861, 370/467, 455/262 is 808080.

LCM(48/861, 370/467, 455/262) = 808080

LCM of 48/861, 370/467, 455/262

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 48/861,370/467,455/262

Given numbers are 48/861,370/467,455/262

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 48,370,455

Least Common Multiple of Numerators i.e. LCM of 48,370,455 is 808080.

GCF of Denominators means GCF of 861,467,262 as per the given fractions.

GCF of 861,467,262 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,370,455

LCM of Fractions 48/861,370/467,455/262 is 808080

2 48, 370, 455
5 24, 185, 455
24, 37, 91

∴ So the LCM of the given numbers is 2 x 5 x 24 x 37 x 91 = 808080

Least Common Multiple of 48,370,455 with GCF Formula

Least Common Multiple of 48,370,455 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 48,370,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,370,455) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(48,370,455) x common factors =1 x 10 = 10

LCM(48,370,455) = ( 48 × 370 × 455 ) / 10

LCM(48,370,455) = 8080800 / 10

LCM(48,370,455) = 808080


Lets's calculate GCF of 861,467,262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 808080/1

Therefore the LCM of Fractions 48/861,370/467,455/262 is 808080

Greatest Common Factor of 861,467,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,467,262 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 861,467,262 . The biggest common factor number is the GCF number.
So the greatest common factor 861,467,262 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 48/861, 370/467, 455/262

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 48/861, 370/467, 455/262?

Answer: LCM of Numerators as per given numbers 48/861, 370/467, 455/262 is

LCM of Numerators i.e. for 48,370,455 is 808080

GCF of denominators i.e. for 861,467,262 is 1.

Thus, LCM of Fractions is 808080.Finally, LCM of Fractions for 48/861, 370/467, 455/262 is 808080.