Least Common Multiple of 351/760, 997/725, 880/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 351/760, 997/725, 880/111 quickly i.e. 307953360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 351/760, 997/725, 880/111 is 307953360.

LCM(351/760, 997/725, 880/111) = 307953360

LCM of 351/760, 997/725, 880/111

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 351/760,997/725,880/111

Given numbers are 351/760,997/725,880/111

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 351,997,880

Least Common Multiple of Numerators i.e. LCM of 351,997,880 is 307953360.

GCF of Denominators means GCF of 760,725,111 as per the given fractions.

GCF of 760,725,111 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 351,997,880

LCM of Fractions 351/760,997/725,880/111 is 307953360

Given numbers has no common factors except 1. So, there LCM is their product i.e 307953360

Least Common Multiple of 351,997,880 with GCF Formula

Least Common Multiple of 351,997,880 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 351,997,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,997,880) = 1

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

GCF(351,997,880) x common factors =1 x 1 = 1

LCM(351,997,880) = ( 351 × 997 × 880 ) / 1

LCM(351,997,880) = 307953360 / 1

LCM(351,997,880) = 307953360


Lets's calculate GCF of 760,725,111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307953360/1

Therefore the LCM of Fractions 351/760,997/725,880/111 is 307953360

Greatest Common Factor of 760,725,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,725,111 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 760,725,111 . The biggest common factor number is the GCF number.
So the greatest common factor 760,725,111 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 351/760, 997/725, 880/111

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 351/760, 997/725, 880/111?

Answer: LCM of Numerators as per given numbers 351/760, 997/725, 880/111 is

LCM of Numerators i.e. for 351,997,880 is 307953360

GCF of denominators i.e. for 760,725,111 is 1.

Thus, LCM of Fractions is 307953360.Finally, LCM of Fractions for 351/760, 997/725, 880/111 is 307953360.