Least Common Multiple of 29/848, 1281/9416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/848, 1281/9416 quickly i.e. 37149/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/848, 1281/9416 is 37149/8.

LCM(29/848, 1281/9416) = 37149/8

LCM of 29/848, 1281/9416

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 29/848,1281/9416

Given numbers are 29/848,1281/9416

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 29,1281

Least Common Multiple of Numerators i.e. LCM of 29,1281 is 37149.

GCF of Denominators means GCF of 848,9416 as per the given fractions.

GCF of 848,9416 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,1281

LCM of Fractions 29/848,1281/9416 is 37149/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 37149

Least Common Multiple of 29,1281 with GCF Formula

Least Common Multiple of 29,1281 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 29,1281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,1281) = 1

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

GCF(29,1281) x common factors =1 x 1 = 1

LCM(29,1281) = ( 29 × 1281 ) / 1

LCM(29,1281) = 37149 / 1

LCM(29,1281) = 37149


Lets's calculate GCF of 848,9416

2 848, 9416
2 424, 4708
2 212, 2354
106, 1177

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37149/8

Therefore the LCM of Fractions 29/848,1281/9416 is 37149/8

Greatest Common Factor of 848,9416 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,9416 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 9416

List of positive integer factors of 9416 that divides 9416 without a remainder.

1,2,4,8,11,22,44,88,107,214,428,856,1177,2354,4708,9416

Greatest Common Factor

We found the factors 848,9416 . The biggest common factor number is the GCF number.
So the greatest common factor 848,9416 is 8.


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 29/848, 1281/9416

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 29/848, 1281/9416?

Answer: LCM of Numerators as per given numbers 29/848, 1281/9416 is

LCM of Numerators i.e. for 29,1281 is 37149

GCF of denominators i.e. for 848,9416 is 8.

Thus, LCM of Fractions is 37149/8.Finally, LCM of Fractions for 29/848, 1281/9416 is 37149/8.