Least Common Multiple of 760/734, 924/514, 442/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 760/734, 924/514, 442/936 quickly i.e. 19399380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 760/734, 924/514, 442/936 is 19399380.

LCM(760/734, 924/514, 442/936) = 19399380

LCM of 760/734, 924/514, 442/936

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 760/734,924/514,442/936

Given numbers are 760/734,924/514,442/936

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 760,924,442

Least Common Multiple of Numerators i.e. LCM of 760,924,442 is 38798760.

GCF of Denominators means GCF of 734,514,936 as per the given fractions.

GCF of 734,514,936 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 760,924,442

LCM of Fractions 760/734,924/514,442/936 is 19399380

2 760, 924, 442
2 380, 462, 221
190, 231, 221

∴ So the LCM of the given numbers is 2 x 2 x 190 x 231 x 221 = 38798760

Least Common Multiple of 760,924,442 with GCF Formula

Least Common Multiple of 760,924,442 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 760,924,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,924,442) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(760,924,442) x common factors =2 x 4 = 8

LCM(760,924,442) = ( 760 × 924 × 442 ) / 8

LCM(760,924,442) = 310390080 / 8

LCM(760,924,442) = 38798760


Lets's calculate GCF of 734,514,936

2 734, 514, 936
367, 257, 468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38798760/2

Therefore the LCM of Fractions 760/734,924/514,442/936 is 19399380

Greatest Common Factor of 734,514,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,514,936 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 734,514,936 . The biggest common factor number is the GCF number.
So the greatest common factor 734,514,936 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 760/734, 924/514, 442/936

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 760/734, 924/514, 442/936?

Answer: LCM of Numerators as per given numbers 760/734, 924/514, 442/936 is

LCM of Numerators i.e. for 760,924,442 is 38798760

GCF of denominators i.e. for 734,514,936 is 2.

Thus, LCM of Fractions is 19399380.Finally, LCM of Fractions for 760/734, 924/514, 442/936 is 19399380.