Least Common Multiple of 49/948, 96/478, 970/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/948, 96/478, 970/588 quickly i.e. 1140720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/948, 96/478, 970/588 is 1140720.

LCM(49/948, 96/478, 970/588) = 1140720

LCM of 49/948, 96/478, 970/588

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 49/948,96/478,970/588

Given numbers are 49/948,96/478,970/588

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 49,96,970

Least Common Multiple of Numerators i.e. LCM of 49,96,970 is 2281440.

GCF of Denominators means GCF of 948,478,588 as per the given fractions.

GCF of 948,478,588 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,96,970

LCM of Fractions 49/948,96/478,970/588 is 1140720

2 49, 96, 970
49, 48, 485

∴ So the LCM of the given numbers is 2 x 49 x 48 x 485 = 2281440

Least Common Multiple of 49,96,970 with GCF Formula

Least Common Multiple of 49,96,970 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 49,96,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,96,970) = 1

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

GCF(49,96,970) x common factors =1 x 2 = 2

LCM(49,96,970) = ( 49 × 96 × 970 ) / 2

LCM(49,96,970) = 4562880 / 2

LCM(49,96,970) = 2281440


Lets's calculate GCF of 948,478,588

2 948, 478, 588
474, 239, 294

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2281440/2

Therefore the LCM of Fractions 49/948,96/478,970/588 is 1140720

Greatest Common Factor of 948,478,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,478,588 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 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 948,478,588 . The biggest common factor number is the GCF number.
So the greatest common factor 948,478,588 is 2.


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 49/948, 96/478, 970/588

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 49/948, 96/478, 970/588?

Answer: LCM of Numerators as per given numbers 49/948, 96/478, 970/588 is

LCM of Numerators i.e. for 49,96,970 is 2281440

GCF of denominators i.e. for 948,478,588 is 2.

Thus, LCM of Fractions is 1140720.Finally, LCM of Fractions for 49/948, 96/478, 970/588 is 1140720.