Least Common Multiple of 74/92, 989/80, 810/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/92, 989/80, 810/272 quickly i.e. 29640330/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/92, 989/80, 810/272 is 29640330/4.

LCM(74/92, 989/80, 810/272) = 29640330/4

LCM of 74/92, 989/80, 810/272

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 74/92,989/80,810/272

Given numbers are 74/92,989/80,810/272

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 74,989,810

Least Common Multiple of Numerators i.e. LCM of 74,989,810 is 29640330.

GCF of Denominators means GCF of 92,80,272 as per the given fractions.

GCF of 92,80,272 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,989,810

LCM of Fractions 74/92,989/80,810/272 is 29640330/4

2 74, 989, 810
37, 989, 405

∴ So the LCM of the given numbers is 2 x 37 x 989 x 405 = 29640330

Least Common Multiple of 74,989,810 with GCF Formula

Least Common Multiple of 74,989,810 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 74,989,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,989,810) = 1

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

GCF(74,989,810) x common factors =1 x 2 = 2

LCM(74,989,810) = ( 74 × 989 × 810 ) / 2

LCM(74,989,810) = 59280660 / 2

LCM(74,989,810) = 29640330


Lets's calculate GCF of 92,80,272

2 92, 80, 272
2 46, 40, 136
23, 20, 68

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29640330/4

Therefore the LCM of Fractions 74/92,989/80,810/272 is 29640330/4

Greatest Common Factor of 92,80,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,80,272 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

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 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 92,80,272 . The biggest common factor number is the GCF number.
So the greatest common factor 92,80,272 is 4.


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 74/92, 989/80, 810/272

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 74/92, 989/80, 810/272?

Answer: LCM of Numerators as per given numbers 74/92, 989/80, 810/272 is

LCM of Numerators i.e. for 74,989,810 is 29640330

GCF of denominators i.e. for 92,80,272 is 4.

Thus, LCM of Fractions is 29640330/4.Finally, LCM of Fractions for 74/92, 989/80, 810/272 is 29640330/4.