Least Common Multiple of 78/42, 10/76, 53/77, 60/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/42, 10/76, 53/77, 60/385 quickly i.e. 41340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/42, 10/76, 53/77, 60/385 is 41340.

LCM(78/42, 10/76, 53/77, 60/385) = 41340

LCM of 78/42, 10/76, 53/77, 60/385

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 78/42,10/76,53/77,60/385

Given numbers are 78/42,10/76,53/77,60/385

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 78,10,53,60

Least Common Multiple of Numerators i.e. LCM of 78,10,53,60 is 41340.

GCF of Denominators means GCF of 42,76,77,385 as per the given fractions.

GCF of 42,76,77,385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,10,53,60

LCM of Fractions 78/42,10/76,53/77,60/385 is 41340

2 78, 10, 53, 60
3 39, 5, 53, 30
5 13, 5, 53, 10
13, 1, 53, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 53 x 2 = 41340

Least Common Multiple of 78,10,53,60 with GCF Formula

Least Common Multiple of 78,10,53,60 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 78,10,53,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,10,53,60) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(78,10,53,60) x common factors =1 x 60 = 60

LCM(78,10,53,60) = ( 78 × 10 × 53 × 60 ) / 60

LCM(78,10,53,60) = 2480400 / 60

LCM(78,10,53,60) = 41340


Lets's calculate GCF of 42,76,77,385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41340/1

Therefore the LCM of Fractions 78/42,10/76,53/77,60/385 is 41340

Greatest Common Factor of 42,76,77,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,76,77,385 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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 42,76,77,385 . The biggest common factor number is the GCF number.
So the greatest common factor 42,76,77,385 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 78/42, 10/76, 53/77, 60/385

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 78/42, 10/76, 53/77, 60/385?

Answer: LCM of Numerators as per given numbers 78/42, 10/76, 53/77, 60/385 is

LCM of Numerators i.e. for 78,10,53,60 is 41340

GCF of denominators i.e. for 42,76,77,385 is 1.

Thus, LCM of Fractions is 41340.Finally, LCM of Fractions for 78/42, 10/76, 53/77, 60/385 is 41340.