Least Common Multiple of 798/914, 2278/7888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 798/914, 2278/7888 quickly i.e. 454461 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 798/914, 2278/7888 is 454461.

LCM(798/914, 2278/7888) = 454461

LCM of 798/914, 2278/7888

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 798/914,2278/7888

Given numbers are 798/914,2278/7888

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 798,2278

Least Common Multiple of Numerators i.e. LCM of 798,2278 is 908922.

GCF of Denominators means GCF of 914,7888 as per the given fractions.

GCF of 914,7888 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 798,2278

LCM of Fractions 798/914,2278/7888 is 454461

2 798, 2278
399, 1139

∴ So the LCM of the given numbers is 2 x 399 x 1139 = 908922

Least Common Multiple of 798,2278 with GCF Formula

Least Common Multiple of 798,2278 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 798,2278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,2278) = 2

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

GCF(798,2278) x common factors =2 x 1 = 2

LCM(798,2278) = ( 798 × 2278 ) / 2

LCM(798,2278) = 1817844 / 2

LCM(798,2278) = 908922


Lets's calculate GCF of 914,7888

2 914, 7888
457, 3944

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 908922/2

Therefore the LCM of Fractions 798/914,2278/7888 is 454461

Greatest Common Factor of 914,7888 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,7888 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 7888

List of positive integer factors of 7888 that divides 7888 without a remainder.

1,2,4,8,16,17,29,34,58,68,116,136,232,272,464,493,986,1972,3944,7888

Greatest Common Factor

We found the factors 914,7888 . The biggest common factor number is the GCF number.
So the greatest common factor 914,7888 is 2.


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 798/914, 2278/7888

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 798/914, 2278/7888?

Answer: LCM of Numerators as per given numbers 798/914, 2278/7888 is

LCM of Numerators i.e. for 798,2278 is 908922

GCF of denominators i.e. for 914,7888 is 2.

Thus, LCM of Fractions is 454461.Finally, LCM of Fractions for 798/914, 2278/7888 is 454461.