Least Common Multiple of 51/570, 97/465, 715/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/570, 97/465, 715/167 quickly i.e. 3537105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/570, 97/465, 715/167 is 3537105.

LCM(51/570, 97/465, 715/167) = 3537105

LCM of 51/570, 97/465, 715/167

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 51/570,97/465,715/167

Given numbers are 51/570,97/465,715/167

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 51,97,715

Least Common Multiple of Numerators i.e. LCM of 51,97,715 is 3537105.

GCF of Denominators means GCF of 570,465,167 as per the given fractions.

GCF of 570,465,167 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,97,715

LCM of Fractions 51/570,97/465,715/167 is 3537105

Given numbers has no common factors except 1. So, there LCM is their product i.e 3537105

Least Common Multiple of 51,97,715 with GCF Formula

Least Common Multiple of 51,97,715 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 51,97,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,97,715) = 1

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

GCF(51,97,715) x common factors =1 x 1 = 1

LCM(51,97,715) = ( 51 × 97 × 715 ) / 1

LCM(51,97,715) = 3537105 / 1

LCM(51,97,715) = 3537105


Lets's calculate GCF of 570,465,167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3537105/1

Therefore the LCM of Fractions 51/570,97/465,715/167 is 3537105

Greatest Common Factor of 570,465,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,465,167 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 570,465,167 . The biggest common factor number is the GCF number.
So the greatest common factor 570,465,167 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 51/570, 97/465, 715/167

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 51/570, 97/465, 715/167?

Answer: LCM of Numerators as per given numbers 51/570, 97/465, 715/167 is

LCM of Numerators i.e. for 51,97,715 is 3537105

GCF of denominators i.e. for 570,465,167 is 1.

Thus, LCM of Fractions is 3537105.Finally, LCM of Fractions for 51/570, 97/465, 715/167 is 3537105.