Least Common Multiple of 691/914, 1907/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 691/914, 1907/884 quickly i.e. 1317737/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 691/914, 1907/884 is 1317737/2.

LCM(691/914, 1907/884) = 1317737/2

LCM of 691/914, 1907/884

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 691/914,1907/884

Given numbers are 691/914,1907/884

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 691,1907

Least Common Multiple of Numerators i.e. LCM of 691,1907 is 1317737.

GCF of Denominators means GCF of 914,884 as per the given fractions.

GCF of 914,884 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 691,1907

LCM of Fractions 691/914,1907/884 is 1317737/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1317737

Least Common Multiple of 691,1907 with GCF Formula

Least Common Multiple of 691,1907 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 691,1907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,1907) = 1

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

GCF(691,1907) x common factors =1 x 1 = 1

LCM(691,1907) = ( 691 × 1907 ) / 1

LCM(691,1907) = 1317737 / 1

LCM(691,1907) = 1317737


Lets's calculate GCF of 914,884

2 914, 884
457, 442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1317737/2

Therefore the LCM of Fractions 691/914,1907/884 is 1317737/2

Greatest Common Factor of 914,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,884 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 914,884 . The biggest common factor number is the GCF number.
So the greatest common factor 914,884 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 691/914, 1907/884

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 691/914, 1907/884?

Answer: LCM of Numerators as per given numbers 691/914, 1907/884 is

LCM of Numerators i.e. for 691,1907 is 1317737

GCF of denominators i.e. for 914,884 is 2.

Thus, LCM of Fractions is 1317737/2.Finally, LCM of Fractions for 691/914, 1907/884 is 1317737/2.