Least Common Multiple of 48/752, 22/435, 490/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/752, 22/435, 490/938 quickly i.e. 129360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/752, 22/435, 490/938 is 129360.

LCM(48/752, 22/435, 490/938) = 129360

LCM of 48/752, 22/435, 490/938

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 48/752,22/435,490/938

Given numbers are 48/752,22/435,490/938

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 48,22,490

Least Common Multiple of Numerators i.e. LCM of 48,22,490 is 129360.

GCF of Denominators means GCF of 752,435,938 as per the given fractions.

GCF of 752,435,938 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,22,490

LCM of Fractions 48/752,22/435,490/938 is 129360

2 48, 22, 490
24, 11, 245

∴ So the LCM of the given numbers is 2 x 24 x 11 x 245 = 129360

Least Common Multiple of 48,22,490 with GCF Formula

Least Common Multiple of 48,22,490 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 48,22,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,22,490) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(48,22,490) x common factors =2 x 2 = 4

LCM(48,22,490) = ( 48 × 22 × 490 ) / 4

LCM(48,22,490) = 517440 / 4

LCM(48,22,490) = 129360


Lets's calculate GCF of 752,435,938

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129360/1

Therefore the LCM of Fractions 48/752,22/435,490/938 is 129360

Greatest Common Factor of 752,435,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,435,938 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 752,435,938 . The biggest common factor number is the GCF number.
So the greatest common factor 752,435,938 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 48/752, 22/435, 490/938

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 48/752, 22/435, 490/938?

Answer: LCM of Numerators as per given numbers 48/752, 22/435, 490/938 is

LCM of Numerators i.e. for 48,22,490 is 129360

GCF of denominators i.e. for 752,435,938 is 1.

Thus, LCM of Fractions is 129360.Finally, LCM of Fractions for 48/752, 22/435, 490/938 is 129360.