Least Common Multiple of 778/88, 896/2632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 778/88, 896/2632 quickly i.e. 43568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 778/88, 896/2632 is 43568.

LCM(778/88, 896/2632) = 43568

LCM of 778/88, 896/2632

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 778/88,896/2632

Given numbers are 778/88,896/2632

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 778,896

Least Common Multiple of Numerators i.e. LCM of 778,896 is 348544.

GCF of Denominators means GCF of 88,2632 as per the given fractions.

GCF of 88,2632 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 778,896

LCM of Fractions 778/88,896/2632 is 43568

2 778, 896
389, 448

∴ So the LCM of the given numbers is 2 x 389 x 448 = 348544

Least Common Multiple of 778,896 with GCF Formula

Least Common Multiple of 778,896 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 778,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,896) = 2

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

GCF(778,896) x common factors =2 x 1 = 2

LCM(778,896) = ( 778 × 896 ) / 2

LCM(778,896) = 697088 / 2

LCM(778,896) = 348544


Lets's calculate GCF of 88,2632

2 88, 2632
2 44, 1316
2 22, 658
11, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 348544/8

Therefore the LCM of Fractions 778/88,896/2632 is 43568

Greatest Common Factor of 88,2632 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,2632 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 2632

List of positive integer factors of 2632 that divides 2632 without a remainder.

1,2,4,7,8,14,28,47,56,94,188,329,376,658,1316,2632

Greatest Common Factor

We found the factors 88,2632 . The biggest common factor number is the GCF number.
So the greatest common factor 88,2632 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 778/88, 896/2632

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 778/88, 896/2632?

Answer: LCM of Numerators as per given numbers 778/88, 896/2632 is

LCM of Numerators i.e. for 778,896 is 348544

GCF of denominators i.e. for 88,2632 is 8.

Thus, LCM of Fractions is 43568.Finally, LCM of Fractions for 778/88, 896/2632 is 43568.