Least Common Multiple of 16/724, 664/354, 861/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/724, 664/354, 861/710 quickly i.e. 571704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/724, 664/354, 861/710 is 571704.

LCM(16/724, 664/354, 861/710) = 571704

LCM of 16/724, 664/354, 861/710

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 16/724,664/354,861/710

Given numbers are 16/724,664/354,861/710

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 16,664,861

Least Common Multiple of Numerators i.e. LCM of 16,664,861 is 1143408.

GCF of Denominators means GCF of 724,354,710 as per the given fractions.

GCF of 724,354,710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,664,861

LCM of Fractions 16/724,664/354,861/710 is 571704

2 16, 664, 861
2 8, 332, 861
2 4, 166, 861
2, 83, 861

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 83 x 861 = 1143408

Least Common Multiple of 16,664,861 with GCF Formula

Least Common Multiple of 16,664,861 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 16,664,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,664,861) = 1

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

GCF(16,664,861) x common factors =1 x 8 = 8

LCM(16,664,861) = ( 16 × 664 × 861 ) / 8

LCM(16,664,861) = 9147264 / 8

LCM(16,664,861) = 1143408


Lets's calculate GCF of 724,354,710

2 724, 354, 710
362, 177, 355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1143408/2

Therefore the LCM of Fractions 16/724,664/354,861/710 is 571704

Greatest Common Factor of 724,354,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,354,710 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 724,354,710 . The biggest common factor number is the GCF number.
So the greatest common factor 724,354,710 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 16/724, 664/354, 861/710

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 16/724, 664/354, 861/710?

Answer: LCM of Numerators as per given numbers 16/724, 664/354, 861/710 is

LCM of Numerators i.e. for 16,664,861 is 1143408

GCF of denominators i.e. for 724,354,710 is 2.

Thus, LCM of Fractions is 571704.Finally, LCM of Fractions for 16/724, 664/354, 861/710 is 571704.