Least Common Multiple of 74/19, 29/61, 60/84, 74/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/19, 29/61, 60/84, 74/943 quickly i.e. 64380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/19, 29/61, 60/84, 74/943 is 64380.

LCM(74/19, 29/61, 60/84, 74/943) = 64380

LCM of 74/19, 29/61, 60/84, 74/943

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 74/19,29/61,60/84,74/943

Given numbers are 74/19,29/61,60/84,74/943

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 74,29,60,74

Least Common Multiple of Numerators i.e. LCM of 74,29,60,74 is 64380.

GCF of Denominators means GCF of 19,61,84,943 as per the given fractions.

GCF of 19,61,84,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,29,60,74

LCM of Fractions 74/19,29/61,60/84,74/943 is 64380

2 74, 29, 60, 74
37 37, 29, 30, 37
1, 29, 30, 1

∴ So the LCM of the given numbers is 2 x 37 x 1 x 29 x 30 x 1 = 64380

Least Common Multiple of 74,29,60,74 with GCF Formula

Least Common Multiple of 74,29,60,74 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 74,29,60,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,29,60,74) = 1

common factors(in case of two or more numbers have common factors) = 148

GCF(74,29,60,74) x common factors =1 x 148 = 148

LCM(74,29,60,74) = ( 74 × 29 × 60 × 74 ) / 148

LCM(74,29,60,74) = 9528240 / 148

LCM(74,29,60,74) = 64380


Lets's calculate GCF of 19,61,84,943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64380/1

Therefore the LCM of Fractions 74/19,29/61,60/84,74/943 is 64380

Greatest Common Factor of 19,61,84,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,61,84,943 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

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

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 19,61,84,943 . The biggest common factor number is the GCF number.
So the greatest common factor 19,61,84,943 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 74/19, 29/61, 60/84, 74/943

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 74/19, 29/61, 60/84, 74/943?

Answer: LCM of Numerators as per given numbers 74/19, 29/61, 60/84, 74/943 is

LCM of Numerators i.e. for 74,29,60,74 is 64380

GCF of denominators i.e. for 19,61,84,943 is 1.

Thus, LCM of Fractions is 64380.Finally, LCM of Fractions for 74/19, 29/61, 60/84, 74/943 is 64380.