Least Common Multiple of 48/832, 76/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/832, 76/325 quickly i.e. 912/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/832, 76/325 is 912/13.

LCM(48/832, 76/325) = 912/13

LCM of 48/832, 76/325

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 48/832,76/325

Given numbers are 48/832,76/325

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 48,76

Least Common Multiple of Numerators i.e. LCM of 48,76 is 912.

GCF of Denominators means GCF of 832,325 as per the given fractions.

GCF of 832,325 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,76

LCM of Fractions 48/832,76/325 is 912/13

2 48, 76
2 24, 38
12, 19

∴ So the LCM of the given numbers is 2 x 2 x 12 x 19 = 912

Least Common Multiple of 48,76 with GCF Formula

Least Common Multiple of 48,76 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 48,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,76) = 4

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

GCF(48,76) x common factors =4 x 1 = 4

LCM(48,76) = ( 48 × 76 ) / 4

LCM(48,76) = 3648 / 4

LCM(48,76) = 912


Lets's calculate GCF of 832,325

13 832, 325
64, 25

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 912/13

Therefore the LCM of Fractions 48/832,76/325 is 912/13

Greatest Common Factor of 832,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,325 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 832,325 . The biggest common factor number is the GCF number.
So the greatest common factor 832,325 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 48/832, 76/325

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 48/832, 76/325?

Answer: LCM of Numerators as per given numbers 48/832, 76/325 is

LCM of Numerators i.e. for 48,76 is 912

GCF of denominators i.e. for 832,325 is 13.

Thus, LCM of Fractions is 912/13.Finally, LCM of Fractions for 48/832, 76/325 is 912/13.