Least Common Multiple of 57/947, 715/171, 462/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/947, 715/171, 462/701 quickly i.e. 570570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/947, 715/171, 462/701 is 570570.

LCM(57/947, 715/171, 462/701) = 570570

LCM of 57/947, 715/171, 462/701

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 57/947,715/171,462/701

Given numbers are 57/947,715/171,462/701

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 57,715,462

Least Common Multiple of Numerators i.e. LCM of 57,715,462 is 570570.

GCF of Denominators means GCF of 947,171,701 as per the given fractions.

GCF of 947,171,701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,715,462

LCM of Fractions 57/947,715/171,462/701 is 570570

3 57, 715, 462
11 19, 715, 154
19, 65, 14

∴ So the LCM of the given numbers is 3 x 11 x 19 x 65 x 14 = 570570

Least Common Multiple of 57,715,462 with GCF Formula

Least Common Multiple of 57,715,462 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 57,715,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,715,462) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(57,715,462) x common factors =1 x 33 = 33

LCM(57,715,462) = ( 57 × 715 × 462 ) / 33

LCM(57,715,462) = 18828810 / 33

LCM(57,715,462) = 570570


Lets's calculate GCF of 947,171,701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 570570/1

Therefore the LCM of Fractions 57/947,715/171,462/701 is 570570

Greatest Common Factor of 947,171,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,171,701 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 947,171,701 . The biggest common factor number is the GCF number.
So the greatest common factor 947,171,701 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 57/947, 715/171, 462/701

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 57/947, 715/171, 462/701?

Answer: LCM of Numerators as per given numbers 57/947, 715/171, 462/701 is

LCM of Numerators i.e. for 57,715,462 is 570570

GCF of denominators i.e. for 947,171,701 is 1.

Thus, LCM of Fractions is 570570.Finally, LCM of Fractions for 57/947, 715/171, 462/701 is 570570.