Least Common Multiple of 924/76, 580/87, 750/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 924/76, 580/87, 750/726 quickly i.e. 3349500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 924/76, 580/87, 750/726 is 3349500.

LCM(924/76, 580/87, 750/726) = 3349500

LCM of 924/76, 580/87, 750/726

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 924/76,580/87,750/726

Given numbers are 924/76,580/87,750/726

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 924,580,750

Least Common Multiple of Numerators i.e. LCM of 924,580,750 is 3349500.

GCF of Denominators means GCF of 76,87,726 as per the given fractions.

GCF of 76,87,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 924,580,750

LCM of Fractions 924/76,580/87,750/726 is 3349500

2 924, 580, 750
2 462, 290, 375
3 231, 145, 375
5 77, 145, 125
77, 29, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 77 x 29 x 25 = 3349500

Least Common Multiple of 924,580,750 with GCF Formula

Least Common Multiple of 924,580,750 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 924,580,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,580,750) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(924,580,750) x common factors =2 x 60 = 120

LCM(924,580,750) = ( 924 × 580 × 750 ) / 120

LCM(924,580,750) = 401940000 / 120

LCM(924,580,750) = 3349500


Lets's calculate GCF of 76,87,726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3349500/1

Therefore the LCM of Fractions 924/76,580/87,750/726 is 3349500

Greatest Common Factor of 76,87,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,87,726 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 76,87,726 . The biggest common factor number is the GCF number.
So the greatest common factor 76,87,726 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 924/76, 580/87, 750/726

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 924/76, 580/87, 750/726?

Answer: LCM of Numerators as per given numbers 924/76, 580/87, 750/726 is

LCM of Numerators i.e. for 924,580,750 is 3349500

GCF of denominators i.e. for 76,87,726 is 1.

Thus, LCM of Fractions is 3349500.Finally, LCM of Fractions for 924/76, 580/87, 750/726 is 3349500.