Least Common Multiple of 74/42, 65/24, 77/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/42, 65/24, 77/772 quickly i.e. 185185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/42, 65/24, 77/772 is 185185.

LCM(74/42, 65/24, 77/772) = 185185

LCM of 74/42, 65/24, 77/772

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 74/42,65/24,77/772

Given numbers are 74/42,65/24,77/772

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 74,65,77

Least Common Multiple of Numerators i.e. LCM of 74,65,77 is 370370.

GCF of Denominators means GCF of 42,24,772 as per the given fractions.

GCF of 42,24,772 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,65,77

LCM of Fractions 74/42,65/24,77/772 is 185185

Given numbers has no common factors except 1. So, there LCM is their product i.e 370370

Least Common Multiple of 74,65,77 with GCF Formula

Least Common Multiple of 74,65,77 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 74,65,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,65,77) = 1

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

GCF(74,65,77) x common factors =1 x 1 = 1

LCM(74,65,77) = ( 74 × 65 × 77 ) / 1

LCM(74,65,77) = 370370 / 1

LCM(74,65,77) = 370370


Lets's calculate GCF of 42,24,772

2 42, 24, 772
21, 12, 386

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 370370/2

Therefore the LCM of Fractions 74/42,65/24,77/772 is 185185

Greatest Common Factor of 42,24,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,24,772 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 42,24,772 . The biggest common factor number is the GCF number.
So the greatest common factor 42,24,772 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 74/42, 65/24, 77/772

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 74/42, 65/24, 77/772?

Answer: LCM of Numerators as per given numbers 74/42, 65/24, 77/772 is

LCM of Numerators i.e. for 74,65,77 is 370370

GCF of denominators i.e. for 42,24,772 is 2.

Thus, LCM of Fractions is 185185.Finally, LCM of Fractions for 74/42, 65/24, 77/772 is 185185.