Least Common Multiple of 712/523, 560/666, 412/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/523, 560/666, 412/951 quickly i.e. 5133520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/523, 560/666, 412/951 is 5133520.

LCM(712/523, 560/666, 412/951) = 5133520

LCM of 712/523, 560/666, 412/951

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 712/523,560/666,412/951

Given numbers are 712/523,560/666,412/951

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 712,560,412

Least Common Multiple of Numerators i.e. LCM of 712,560,412 is 5133520.

GCF of Denominators means GCF of 523,666,951 as per the given fractions.

GCF of 523,666,951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,560,412

LCM of Fractions 712/523,560/666,412/951 is 5133520

2 712, 560, 412
2 356, 280, 206
2 178, 140, 103
89, 70, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 89 x 70 x 103 = 5133520

Least Common Multiple of 712,560,412 with GCF Formula

Least Common Multiple of 712,560,412 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 712,560,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,560,412) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(712,560,412) x common factors =4 x 8 = 32

LCM(712,560,412) = ( 712 × 560 × 412 ) / 32

LCM(712,560,412) = 164272640 / 32

LCM(712,560,412) = 5133520


Lets's calculate GCF of 523,666,951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5133520/1

Therefore the LCM of Fractions 712/523,560/666,412/951 is 5133520

Greatest Common Factor of 523,666,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,666,951 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 523,666,951 . The biggest common factor number is the GCF number.
So the greatest common factor 523,666,951 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 712/523, 560/666, 412/951

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 712/523, 560/666, 412/951?

Answer: LCM of Numerators as per given numbers 712/523, 560/666, 412/951 is

LCM of Numerators i.e. for 712,560,412 is 5133520

GCF of denominators i.e. for 523,666,951 is 1.

Thus, LCM of Fractions is 5133520.Finally, LCM of Fractions for 712/523, 560/666, 412/951 is 5133520.