Least Common Multiple of 7754/88, 9038/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7754/88, 9038/363 quickly i.e. 35040326/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7754/88, 9038/363 is 35040326/11.

LCM(7754/88, 9038/363) = 35040326/11

LCM of 7754/88, 9038/363

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 7754/88,9038/363

Given numbers are 7754/88,9038/363

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 7754,9038

Least Common Multiple of Numerators i.e. LCM of 7754,9038 is 35040326.

GCF of Denominators means GCF of 88,363 as per the given fractions.

GCF of 88,363 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7754,9038

LCM of Fractions 7754/88,9038/363 is 35040326/11

2 7754, 9038
3877, 4519

∴ So the LCM of the given numbers is 2 x 3877 x 4519 = 35040326

Least Common Multiple of 7754,9038 with GCF Formula

Least Common Multiple of 7754,9038 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 7754,9038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7754,9038) = 2

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

GCF(7754,9038) x common factors =2 x 1 = 2

LCM(7754,9038) = ( 7754 × 9038 ) / 2

LCM(7754,9038) = 70080652 / 2

LCM(7754,9038) = 35040326


Lets's calculate GCF of 88,363

11 88, 363
8, 33

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35040326/11

Therefore the LCM of Fractions 7754/88,9038/363 is 35040326/11

Greatest Common Factor of 88,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,363 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 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 88,363 . The biggest common factor number is the GCF number.
So the greatest common factor 88,363 is 11.


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 7754/88, 9038/363

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 7754/88, 9038/363?

Answer: LCM of Numerators as per given numbers 7754/88, 9038/363 is

LCM of Numerators i.e. for 7754,9038 is 35040326

GCF of denominators i.e. for 88,363 is 11.

Thus, LCM of Fractions is 35040326/11.Finally, LCM of Fractions for 7754/88, 9038/363 is 35040326/11.