Least Common Multiple of 3/74, 4/91, 48/49, 81/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/74, 4/91, 48/49, 81/526 quickly i.e. 1296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/74, 4/91, 48/49, 81/526 is 1296.

LCM(3/74, 4/91, 48/49, 81/526) = 1296

LCM of 3/74, 4/91, 48/49, 81/526

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 3/74,4/91,48/49,81/526

Given numbers are 3/74,4/91,48/49,81/526

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 3,4,48,81

Least Common Multiple of Numerators i.e. LCM of 3,4,48,81 is 1296.

GCF of Denominators means GCF of 74,91,49,526 as per the given fractions.

GCF of 74,91,49,526 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,4,48,81

LCM of Fractions 3/74,4/91,48/49,81/526 is 1296

2 3, 4, 48, 81
2 3, 2, 24, 81
3 3, 1, 12, 81
1, 1, 4, 27

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 1 x 4 x 27 = 1296

Least Common Multiple of 3,4,48,81 with GCF Formula

Least Common Multiple of 3,4,48,81 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 3,4,48,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,4,48,81) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(3,4,48,81) x common factors =1 x 36 = 36

LCM(3,4,48,81) = ( 3 × 4 × 48 × 81 ) / 36

LCM(3,4,48,81) = 46656 / 36

LCM(3,4,48,81) = 1296


Lets's calculate GCF of 74,91,49,526

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1296/1

Therefore the LCM of Fractions 3/74,4/91,48/49,81/526 is 1296

Greatest Common Factor of 74,91,49,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,91,49,526 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 74,91,49,526 . The biggest common factor number is the GCF number.
So the greatest common factor 74,91,49,526 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 3/74, 4/91, 48/49, 81/526

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 3/74, 4/91, 48/49, 81/526?

Answer: LCM of Numerators as per given numbers 3/74, 4/91, 48/49, 81/526 is

LCM of Numerators i.e. for 3,4,48,81 is 1296

GCF of denominators i.e. for 74,91,49,526 is 1.

Thus, LCM of Fractions is 1296.Finally, LCM of Fractions for 3/74, 4/91, 48/49, 81/526 is 1296.