Least Common Multiple of 882/914, 7157/8349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 882/914, 7157/8349 quickly i.e. 6312474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/914, 7157/8349 is 6312474.

LCM(882/914, 7157/8349) = 6312474

LCM of 882/914, 7157/8349

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 882/914,7157/8349

Given numbers are 882/914,7157/8349

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 882,7157

Least Common Multiple of Numerators i.e. LCM of 882,7157 is 6312474.

GCF of Denominators means GCF of 914,8349 as per the given fractions.

GCF of 914,8349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,7157

LCM of Fractions 882/914,7157/8349 is 6312474

Given numbers has no common factors except 1. So, there LCM is their product i.e 6312474

Least Common Multiple of 882,7157 with GCF Formula

Least Common Multiple of 882,7157 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 882,7157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,7157) = 1

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

GCF(882,7157) x common factors =1 x 1 = 1

LCM(882,7157) = ( 882 × 7157 ) / 1

LCM(882,7157) = 6312474 / 1

LCM(882,7157) = 6312474


Lets's calculate GCF of 914,8349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6312474/1

Therefore the LCM of Fractions 882/914,7157/8349 is 6312474

Greatest Common Factor of 914,8349 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,8349 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 8349

List of positive integer factors of 8349 that divides 8349 without a remainder.

1,3,11,23,33,69,121,253,363,759,2783,8349

Greatest Common Factor

We found the factors 914,8349 . The biggest common factor number is the GCF number.
So the greatest common factor 914,8349 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 882/914, 7157/8349

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 882/914, 7157/8349?

Answer: LCM of Numerators as per given numbers 882/914, 7157/8349 is

LCM of Numerators i.e. for 882,7157 is 6312474

GCF of denominators i.e. for 914,8349 is 1.

Thus, LCM of Fractions is 6312474.Finally, LCM of Fractions for 882/914, 7157/8349 is 6312474.