Least Common Multiple of 114/696, 4914/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/696, 4914/969 quickly i.e. 31122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/696, 4914/969 is 31122.

LCM(114/696, 4914/969) = 31122

LCM of 114/696, 4914/969

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 114/696,4914/969

Given numbers are 114/696,4914/969

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 114,4914

Least Common Multiple of Numerators i.e. LCM of 114,4914 is 93366.

GCF of Denominators means GCF of 696,969 as per the given fractions.

GCF of 696,969 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,4914

LCM of Fractions 114/696,4914/969 is 31122

2 114, 4914
3 57, 2457
19, 819

∴ So the LCM of the given numbers is 2 x 3 x 19 x 819 = 93366

Least Common Multiple of 114,4914 with GCF Formula

Least Common Multiple of 114,4914 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 114,4914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,4914) = 6

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

GCF(114,4914) x common factors =6 x 1 = 6

LCM(114,4914) = ( 114 × 4914 ) / 6

LCM(114,4914) = 560196 / 6

LCM(114,4914) = 93366


Lets's calculate GCF of 696,969

3 696, 969
232, 323

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93366/3

Therefore the LCM of Fractions 114/696,4914/969 is 31122

Greatest Common Factor of 696,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,969 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 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 696,969 . The biggest common factor number is the GCF number.
So the greatest common factor 696,969 is 3.


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 114/696, 4914/969

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 114/696, 4914/969?

Answer: LCM of Numerators as per given numbers 114/696, 4914/969 is

LCM of Numerators i.e. for 114,4914 is 93366

GCF of denominators i.e. for 696,969 is 3.

Thus, LCM of Fractions is 31122.Finally, LCM of Fractions for 114/696, 4914/969 is 31122.