Least Common Multiple of 76/948, 7184/2273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/948, 7184/2273 quickly i.e. 136496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/948, 7184/2273 is 136496.

LCM(76/948, 7184/2273) = 136496

LCM of 76/948, 7184/2273

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 76/948,7184/2273

Given numbers are 76/948,7184/2273

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 76,7184

Least Common Multiple of Numerators i.e. LCM of 76,7184 is 136496.

GCF of Denominators means GCF of 948,2273 as per the given fractions.

GCF of 948,2273 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,7184

LCM of Fractions 76/948,7184/2273 is 136496

2 76, 7184
2 38, 3592
19, 1796

∴ So the LCM of the given numbers is 2 x 2 x 19 x 1796 = 136496

Least Common Multiple of 76,7184 with GCF Formula

Least Common Multiple of 76,7184 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 76,7184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,7184) = 4

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

GCF(76,7184) x common factors =4 x 1 = 4

LCM(76,7184) = ( 76 × 7184 ) / 4

LCM(76,7184) = 545984 / 4

LCM(76,7184) = 136496


Lets's calculate GCF of 948,2273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136496/1

Therefore the LCM of Fractions 76/948,7184/2273 is 136496

Greatest Common Factor of 948,2273 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,2273 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 2273

List of positive integer factors of 2273 that divides 2273 without a remainder.

1,2273

Greatest Common Factor

We found the factors 948,2273 . The biggest common factor number is the GCF number.
So the greatest common factor 948,2273 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 76/948, 7184/2273

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 76/948, 7184/2273?

Answer: LCM of Numerators as per given numbers 76/948, 7184/2273 is

LCM of Numerators i.e. for 76,7184 is 136496

GCF of denominators i.e. for 948,2273 is 1.

Thus, LCM of Fractions is 136496.Finally, LCM of Fractions for 76/948, 7184/2273 is 136496.