Least Common Multiple of 71/952, 52/446, 657/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/952, 52/446, 657/214 quickly i.e. 1212822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/952, 52/446, 657/214 is 1212822.

LCM(71/952, 52/446, 657/214) = 1212822

LCM of 71/952, 52/446, 657/214

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 71/952,52/446,657/214

Given numbers are 71/952,52/446,657/214

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 71,52,657

Least Common Multiple of Numerators i.e. LCM of 71,52,657 is 2425644.

GCF of Denominators means GCF of 952,446,214 as per the given fractions.

GCF of 952,446,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,52,657

LCM of Fractions 71/952,52/446,657/214 is 1212822

Given numbers has no common factors except 1. So, there LCM is their product i.e 2425644

Least Common Multiple of 71,52,657 with GCF Formula

Least Common Multiple of 71,52,657 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 71,52,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,52,657) = 1

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

GCF(71,52,657) x common factors =1 x 1 = 1

LCM(71,52,657) = ( 71 × 52 × 657 ) / 1

LCM(71,52,657) = 2425644 / 1

LCM(71,52,657) = 2425644


Lets's calculate GCF of 952,446,214

2 952, 446, 214
476, 223, 107

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2425644/2

Therefore the LCM of Fractions 71/952,52/446,657/214 is 1212822

Greatest Common Factor of 952,446,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,446,214 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 952,446,214 . The biggest common factor number is the GCF number.
So the greatest common factor 952,446,214 is 2.


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 71/952, 52/446, 657/214

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 71/952, 52/446, 657/214?

Answer: LCM of Numerators as per given numbers 71/952, 52/446, 657/214 is

LCM of Numerators i.e. for 71,52,657 is 2425644

GCF of denominators i.e. for 952,446,214 is 2.

Thus, LCM of Fractions is 1212822.Finally, LCM of Fractions for 71/952, 52/446, 657/214 is 1212822.