Least Common Multiple of 61/696, 5704/9958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/696, 5704/9958 quickly i.e. 173972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/696, 5704/9958 is 173972.

LCM(61/696, 5704/9958) = 173972

LCM of 61/696, 5704/9958

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 61/696,5704/9958

Given numbers are 61/696,5704/9958

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 61,5704

Least Common Multiple of Numerators i.e. LCM of 61,5704 is 347944.

GCF of Denominators means GCF of 696,9958 as per the given fractions.

GCF of 696,9958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,5704

LCM of Fractions 61/696,5704/9958 is 173972

Given numbers has no common factors except 1. So, there LCM is their product i.e 347944

Least Common Multiple of 61,5704 with GCF Formula

Least Common Multiple of 61,5704 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 61,5704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,5704) = 1

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

GCF(61,5704) x common factors =1 x 1 = 1

LCM(61,5704) = ( 61 × 5704 ) / 1

LCM(61,5704) = 347944 / 1

LCM(61,5704) = 347944


Lets's calculate GCF of 696,9958

2 696, 9958
348, 4979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347944/2

Therefore the LCM of Fractions 61/696,5704/9958 is 173972

Greatest Common Factor of 696,9958 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,9958 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 9958

List of positive integer factors of 9958 that divides 9958 without a remainder.

1,2,13,26,383,766,4979,9958

Greatest Common Factor

We found the factors 696,9958 . The biggest common factor number is the GCF number.
So the greatest common factor 696,9958 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/696, 5704/9958

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 61/696, 5704/9958?

Answer: LCM of Numerators as per given numbers 61/696, 5704/9958 is

LCM of Numerators i.e. for 61,5704 is 347944

GCF of denominators i.e. for 696,9958 is 2.

Thus, LCM of Fractions is 173972.Finally, LCM of Fractions for 61/696, 5704/9958 is 173972.