Least Common Multiple of 918/29, 991/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 918/29, 991/514 quickly i.e. 909738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/29, 991/514 is 909738.

LCM(918/29, 991/514) = 909738

LCM of 918/29, 991/514

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 918/29,991/514

Given numbers are 918/29,991/514

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 918,991

Least Common Multiple of Numerators i.e. LCM of 918,991 is 909738.

GCF of Denominators means GCF of 29,514 as per the given fractions.

GCF of 29,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,991

LCM of Fractions 918/29,991/514 is 909738

Given numbers has no common factors except 1. So, there LCM is their product i.e 909738

Least Common Multiple of 918,991 with GCF Formula

Least Common Multiple of 918,991 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 918,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,991) = 1

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

GCF(918,991) x common factors =1 x 1 = 1

LCM(918,991) = ( 918 × 991 ) / 1

LCM(918,991) = 909738 / 1

LCM(918,991) = 909738


Lets's calculate GCF of 29,514

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 909738/1

Therefore the LCM of Fractions 918/29,991/514 is 909738

Greatest Common Factor of 29,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,514 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 29,514 . The biggest common factor number is the GCF number.
So the greatest common factor 29,514 is 1.


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 918/29, 991/514

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 918/29, 991/514?

Answer: LCM of Numerators as per given numbers 918/29, 991/514 is

LCM of Numerators i.e. for 918,991 is 909738

GCF of denominators i.e. for 29,514 is 1.

Thus, LCM of Fractions is 909738.Finally, LCM of Fractions for 918/29, 991/514 is 909738.