Least Common Multiple of 96/949, 53/312, 348/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/949, 53/312, 348/313 quickly i.e. 147552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/949, 53/312, 348/313 is 147552.

LCM(96/949, 53/312, 348/313) = 147552

LCM of 96/949, 53/312, 348/313

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 96/949,53/312,348/313

Given numbers are 96/949,53/312,348/313

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 96,53,348

Least Common Multiple of Numerators i.e. LCM of 96,53,348 is 147552.

GCF of Denominators means GCF of 949,312,313 as per the given fractions.

GCF of 949,312,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,53,348

LCM of Fractions 96/949,53/312,348/313 is 147552

2 96, 53, 348
2 48, 53, 174
3 24, 53, 87
8, 53, 29

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 53 x 29 = 147552

Least Common Multiple of 96,53,348 with GCF Formula

Least Common Multiple of 96,53,348 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 96,53,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,53,348) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(96,53,348) x common factors =1 x 12 = 12

LCM(96,53,348) = ( 96 × 53 × 348 ) / 12

LCM(96,53,348) = 1770624 / 12

LCM(96,53,348) = 147552


Lets's calculate GCF of 949,312,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147552/1

Therefore the LCM of Fractions 96/949,53/312,348/313 is 147552

Greatest Common Factor of 949,312,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,312,313 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 949,312,313 . The biggest common factor number is the GCF number.
So the greatest common factor 949,312,313 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 96/949, 53/312, 348/313

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 96/949, 53/312, 348/313?

Answer: LCM of Numerators as per given numbers 96/949, 53/312, 348/313 is

LCM of Numerators i.e. for 96,53,348 is 147552

GCF of denominators i.e. for 949,312,313 is 1.

Thus, LCM of Fractions is 147552.Finally, LCM of Fractions for 96/949, 53/312, 348/313 is 147552.