Least Common Multiple of 72/950, 587/722, 986/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/950, 587/722, 986/516 quickly i.e. 10418076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/950, 587/722, 986/516 is 10418076.

LCM(72/950, 587/722, 986/516) = 10418076

LCM of 72/950, 587/722, 986/516

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 72/950,587/722,986/516

Given numbers are 72/950,587/722,986/516

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 72,587,986

Least Common Multiple of Numerators i.e. LCM of 72,587,986 is 20836152.

GCF of Denominators means GCF of 950,722,516 as per the given fractions.

GCF of 950,722,516 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,587,986

LCM of Fractions 72/950,587/722,986/516 is 10418076

2 72, 587, 986
36, 587, 493

∴ So the LCM of the given numbers is 2 x 36 x 587 x 493 = 20836152

Least Common Multiple of 72,587,986 with GCF Formula

Least Common Multiple of 72,587,986 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 72,587,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,587,986) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(72,587,986) x common factors =1 x 2 = 2

LCM(72,587,986) = ( 72 × 587 × 986 ) / 2

LCM(72,587,986) = 41672304 / 2

LCM(72,587,986) = 20836152


Lets's calculate GCF of 950,722,516

2 950, 722, 516
475, 361, 258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20836152/2

Therefore the LCM of Fractions 72/950,587/722,986/516 is 10418076

Greatest Common Factor of 950,722,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,722,516 By Matching Biggest Common Factor Method

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 950,722,516 . The biggest common factor number is the GCF number.
So the greatest common factor 950,722,516 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 72/950, 587/722, 986/516

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 72/950, 587/722, 986/516?

Answer: LCM of Numerators as per given numbers 72/950, 587/722, 986/516 is

LCM of Numerators i.e. for 72,587,986 is 20836152

GCF of denominators i.e. for 950,722,516 is 2.

Thus, LCM of Fractions is 10418076.Finally, LCM of Fractions for 72/950, 587/722, 986/516 is 10418076.