Least Common Multiple of 67/80, 796/74, 842/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/80, 796/74, 842/502 quickly i.e. 11226386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/80, 796/74, 842/502 is 11226386.

LCM(67/80, 796/74, 842/502) = 11226386

LCM of 67/80, 796/74, 842/502

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 67/80,796/74,842/502

Given numbers are 67/80,796/74,842/502

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 67,796,842

Least Common Multiple of Numerators i.e. LCM of 67,796,842 is 22452772.

GCF of Denominators means GCF of 80,74,502 as per the given fractions.

GCF of 80,74,502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,796,842

LCM of Fractions 67/80,796/74,842/502 is 11226386

2 67, 796, 842
67, 398, 421

∴ So the LCM of the given numbers is 2 x 67 x 398 x 421 = 22452772

Least Common Multiple of 67,796,842 with GCF Formula

Least Common Multiple of 67,796,842 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 67,796,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,796,842) = 1

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

GCF(67,796,842) x common factors =1 x 2 = 2

LCM(67,796,842) = ( 67 × 796 × 842 ) / 2

LCM(67,796,842) = 44905544 / 2

LCM(67,796,842) = 22452772


Lets's calculate GCF of 80,74,502

2 80, 74, 502
40, 37, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22452772/2

Therefore the LCM of Fractions 67/80,796/74,842/502 is 11226386

Greatest Common Factor of 80,74,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,74,502 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 80,74,502 . The biggest common factor number is the GCF number.
So the greatest common factor 80,74,502 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 67/80, 796/74, 842/502

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 67/80, 796/74, 842/502?

Answer: LCM of Numerators as per given numbers 67/80, 796/74, 842/502 is

LCM of Numerators i.e. for 67,796,842 is 22452772

GCF of denominators i.e. for 80,74,502 is 2.

Thus, LCM of Fractions is 11226386.Finally, LCM of Fractions for 67/80, 796/74, 842/502 is 11226386.