Least Common Multiple of 761/74, 742/44, 333/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 761/74, 742/44, 333/84 quickly i.e. 94016223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 761/74, 742/44, 333/84 is 94016223.

LCM(761/74, 742/44, 333/84) = 94016223

LCM of 761/74, 742/44, 333/84

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 761/74,742/44,333/84

Given numbers are 761/74,742/44,333/84

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 761,742,333

Least Common Multiple of Numerators i.e. LCM of 761,742,333 is 188032446.

GCF of Denominators means GCF of 74,44,84 as per the given fractions.

GCF of 74,44,84 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 761,742,333

LCM of Fractions 761/74,742/44,333/84 is 94016223

Given numbers has no common factors except 1. So, there LCM is their product i.e 188032446

Least Common Multiple of 761,742,333 with GCF Formula

Least Common Multiple of 761,742,333 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 761,742,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,742,333) = 1

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

GCF(761,742,333) x common factors =1 x 1 = 1

LCM(761,742,333) = ( 761 × 742 × 333 ) / 1

LCM(761,742,333) = 188032446 / 1

LCM(761,742,333) = 188032446


Lets's calculate GCF of 74,44,84

2 74, 44, 84
37, 22, 42

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188032446/2

Therefore the LCM of Fractions 761/74,742/44,333/84 is 94016223

Greatest Common Factor of 74,44,84 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,44,84 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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Greatest Common Factor

We found the factors 74,44,84 . The biggest common factor number is the GCF number.
So the greatest common factor 74,44,84 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 761/74, 742/44, 333/84

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 761/74, 742/44, 333/84?

Answer: LCM of Numerators as per given numbers 761/74, 742/44, 333/84 is

LCM of Numerators i.e. for 761,742,333 is 188032446

GCF of denominators i.e. for 74,44,84 is 2.

Thus, LCM of Fractions is 94016223.Finally, LCM of Fractions for 761/74, 742/44, 333/84 is 94016223.