Least Common Multiple of 49/948, 8939/1716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/948, 8939/1716 quickly i.e. 62573/12 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, 8939/1716 is 62573/12.

LCM(49/948, 8939/1716) = 62573/12

LCM of 49/948, 8939/1716

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 49/948,8939/1716

Given numbers are 49/948,8939/1716

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 49,8939

Least Common Multiple of Numerators i.e. LCM of 49,8939 is 62573.

GCF of Denominators means GCF of 948,1716 as per the given fractions.

GCF of 948,1716 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,8939

LCM of Fractions 49/948,8939/1716 is 62573/12

7 49, 8939
7, 1277

∴ So the LCM of the given numbers is 7 x 7 x 1277 = 62573

Least Common Multiple of 49,8939 with GCF Formula

Least Common Multiple of 49,8939 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 49,8939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,8939) = 7

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

GCF(49,8939) x common factors =7 x 1 = 7

LCM(49,8939) = ( 49 × 8939 ) / 7

LCM(49,8939) = 438011 / 7

LCM(49,8939) = 62573


Lets's calculate GCF of 948,1716

2 948, 1716
2 474, 858
3 237, 429
79, 143

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62573/12

Therefore the LCM of Fractions 49/948,8939/1716 is 62573/12

Greatest Common Factor of 948,1716 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,1716 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 1716

List of positive integer factors of 1716 that divides 1716 without a remainder.

1,2,3,4,6,11,12,13,22,26,33,39,44,52,66,78,132,143,156,286,429,572,858,1716

Greatest Common Factor

We found the factors 948,1716 . The biggest common factor number is the GCF number.
So the greatest common factor 948,1716 is 12.


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, 8939/1716

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, 8939/1716?

Answer: LCM of Numerators as per given numbers 49/948, 8939/1716 is

LCM of Numerators i.e. for 49,8939 is 62573

GCF of denominators i.e. for 948,1716 is 12.

Thus, LCM of Fractions is 62573/12.Finally, LCM of Fractions for 49/948, 8939/1716 is 62573/12.