Least Common Multiple of 74/108, 871/132, 911/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/108, 871/132, 911/368 quickly i.e. 58717594/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/108, 871/132, 911/368 is 58717594/4.

LCM(74/108, 871/132, 911/368) = 58717594/4

LCM of 74/108, 871/132, 911/368

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 74/108,871/132,911/368

Given numbers are 74/108,871/132,911/368

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 74,871,911

Least Common Multiple of Numerators i.e. LCM of 74,871,911 is 58717594.

GCF of Denominators means GCF of 108,132,368 as per the given fractions.

GCF of 108,132,368 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,871,911

LCM of Fractions 74/108,871/132,911/368 is 58717594/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 58717594

Least Common Multiple of 74,871,911 with GCF Formula

Least Common Multiple of 74,871,911 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 74,871,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,871,911) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(74,871,911) x common factors =1 x 1 = 1

LCM(74,871,911) = ( 74 × 871 × 911 ) / 1

LCM(74,871,911) = 58717594 / 1

LCM(74,871,911) = 58717594


Lets's calculate GCF of 108,132,368

2 108, 132, 368
2 54, 66, 184
27, 33, 92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58717594/4

Therefore the LCM of Fractions 74/108,871/132,911/368 is 58717594/4

Greatest Common Factor of 108,132,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,132,368 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 108,132,368 . The biggest common factor number is the GCF number.
So the greatest common factor 108,132,368 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 74/108, 871/132, 911/368

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 74/108, 871/132, 911/368?

Answer: LCM of Numerators as per given numbers 74/108, 871/132, 911/368 is

LCM of Numerators i.e. for 74,871,911 is 58717594

GCF of denominators i.e. for 108,132,368 is 4.

Thus, LCM of Fractions is 58717594/4.Finally, LCM of Fractions for 74/108, 871/132, 911/368 is 58717594/4.