Least Common Multiple of 35/777, 552/203, 328/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/777, 552/203, 328/761 quickly i.e. 792120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/777, 552/203, 328/761 is 792120.

LCM(35/777, 552/203, 328/761) = 792120

LCM of 35/777, 552/203, 328/761

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 35/777,552/203,328/761

Given numbers are 35/777,552/203,328/761

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 35,552,328

Least Common Multiple of Numerators i.e. LCM of 35,552,328 is 792120.

GCF of Denominators means GCF of 777,203,761 as per the given fractions.

GCF of 777,203,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,552,328

LCM of Fractions 35/777,552/203,328/761 is 792120

2 35, 552, 328
2 35, 276, 164
2 35, 138, 82
35, 69, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 35 x 69 x 41 = 792120

Least Common Multiple of 35,552,328 with GCF Formula

Least Common Multiple of 35,552,328 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 35,552,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,552,328) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(35,552,328) x common factors =1 x 8 = 8

LCM(35,552,328) = ( 35 × 552 × 328 ) / 8

LCM(35,552,328) = 6336960 / 8

LCM(35,552,328) = 792120


Lets's calculate GCF of 777,203,761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 792120/1

Therefore the LCM of Fractions 35/777,552/203,328/761 is 792120

Greatest Common Factor of 777,203,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,203,761 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 777,203,761 . The biggest common factor number is the GCF number.
So the greatest common factor 777,203,761 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 35/777, 552/203, 328/761

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 35/777, 552/203, 328/761?

Answer: LCM of Numerators as per given numbers 35/777, 552/203, 328/761 is

LCM of Numerators i.e. for 35,552,328 is 792120

GCF of denominators i.e. for 777,203,761 is 1.

Thus, LCM of Fractions is 792120.Finally, LCM of Fractions for 35/777, 552/203, 328/761 is 792120.