Least Common Multiple of 6829/971, 2714/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6829/971, 2714/456 quickly i.e. 18533906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6829/971, 2714/456 is 18533906.

LCM(6829/971, 2714/456) = 18533906

LCM of 6829/971, 2714/456

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 6829/971,2714/456

Given numbers are 6829/971,2714/456

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 6829,2714

Least Common Multiple of Numerators i.e. LCM of 6829,2714 is 18533906.

GCF of Denominators means GCF of 971,456 as per the given fractions.

GCF of 971,456 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6829,2714

LCM of Fractions 6829/971,2714/456 is 18533906

Given numbers has no common factors except 1. So, there LCM is their product i.e 18533906

Least Common Multiple of 6829,2714 with GCF Formula

Least Common Multiple of 6829,2714 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 6829,2714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6829,2714) = 1

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

GCF(6829,2714) x common factors =1 x 1 = 1

LCM(6829,2714) = ( 6829 × 2714 ) / 1

LCM(6829,2714) = 18533906 / 1

LCM(6829,2714) = 18533906


Lets's calculate GCF of 971,456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18533906/1

Therefore the LCM of Fractions 6829/971,2714/456 is 18533906

Greatest Common Factor of 971,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,456 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 971,456 . The biggest common factor number is the GCF number.
So the greatest common factor 971,456 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 6829/971, 2714/456

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 6829/971, 2714/456?

Answer: LCM of Numerators as per given numbers 6829/971, 2714/456 is

LCM of Numerators i.e. for 6829,2714 is 18533906

GCF of denominators i.e. for 971,456 is 1.

Thus, LCM of Fractions is 18533906.Finally, LCM of Fractions for 6829/971, 2714/456 is 18533906.