Least Common Multiple of 80/257, 765/187, 474/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/257, 765/187, 474/797 quickly i.e. 966960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/257, 765/187, 474/797 is 966960.

LCM(80/257, 765/187, 474/797) = 966960

LCM of 80/257, 765/187, 474/797

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 80/257,765/187,474/797

Given numbers are 80/257,765/187,474/797

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 80,765,474

Least Common Multiple of Numerators i.e. LCM of 80,765,474 is 966960.

GCF of Denominators means GCF of 257,187,797 as per the given fractions.

GCF of 257,187,797 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,765,474

LCM of Fractions 80/257,765/187,474/797 is 966960

2 80, 765, 474
3 40, 765, 237
5 40, 255, 79
8, 51, 79

∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 51 x 79 = 966960

Least Common Multiple of 80,765,474 with GCF Formula

Least Common Multiple of 80,765,474 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 80,765,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,765,474) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(80,765,474) x common factors =1 x 30 = 30

LCM(80,765,474) = ( 80 × 765 × 474 ) / 30

LCM(80,765,474) = 29008800 / 30

LCM(80,765,474) = 966960


Lets's calculate GCF of 257,187,797

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 966960/1

Therefore the LCM of Fractions 80/257,765/187,474/797 is 966960

Greatest Common Factor of 257,187,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,187,797 By Matching Biggest Common Factor Method

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors 257,187,797 . The biggest common factor number is the GCF number.
So the greatest common factor 257,187,797 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 80/257, 765/187, 474/797

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 80/257, 765/187, 474/797?

Answer: LCM of Numerators as per given numbers 80/257, 765/187, 474/797 is

LCM of Numerators i.e. for 80,765,474 is 966960

GCF of denominators i.e. for 257,187,797 is 1.

Thus, LCM of Fractions is 966960.Finally, LCM of Fractions for 80/257, 765/187, 474/797 is 966960.