Least Common Multiple of 571/785, 659/292, 770/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 571/785, 659/292, 770/165 quickly i.e. 289742530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 571/785, 659/292, 770/165 is 289742530.

LCM(571/785, 659/292, 770/165) = 289742530

LCM of 571/785, 659/292, 770/165

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 571/785,659/292,770/165

Given numbers are 571/785,659/292,770/165

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 571,659,770

Least Common Multiple of Numerators i.e. LCM of 571,659,770 is 289742530.

GCF of Denominators means GCF of 785,292,165 as per the given fractions.

GCF of 785,292,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 571,659,770

LCM of Fractions 571/785,659/292,770/165 is 289742530

Given numbers has no common factors except 1. So, there LCM is their product i.e 289742530

Least Common Multiple of 571,659,770 with GCF Formula

Least Common Multiple of 571,659,770 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 571,659,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,659,770) = 1

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

GCF(571,659,770) x common factors =1 x 1 = 1

LCM(571,659,770) = ( 571 × 659 × 770 ) / 1

LCM(571,659,770) = 289742530 / 1

LCM(571,659,770) = 289742530


Lets's calculate GCF of 785,292,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289742530/1

Therefore the LCM of Fractions 571/785,659/292,770/165 is 289742530

Greatest Common Factor of 785,292,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,292,165 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 785,292,165 . The biggest common factor number is the GCF number.
So the greatest common factor 785,292,165 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 571/785, 659/292, 770/165

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 571/785, 659/292, 770/165?

Answer: LCM of Numerators as per given numbers 571/785, 659/292, 770/165 is

LCM of Numerators i.e. for 571,659,770 is 289742530

GCF of denominators i.e. for 785,292,165 is 1.

Thus, LCM of Fractions is 289742530.Finally, LCM of Fractions for 571/785, 659/292, 770/165 is 289742530.