Least Common Multiple of 55/42, 60/592, 427/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/42, 60/592, 427/379 quickly i.e. 281820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/42, 60/592, 427/379 is 281820.

LCM(55/42, 60/592, 427/379) = 281820

LCM of 55/42, 60/592, 427/379

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 55/42,60/592,427/379

Given numbers are 55/42,60/592,427/379

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 55,60,427

Least Common Multiple of Numerators i.e. LCM of 55,60,427 is 281820.

GCF of Denominators means GCF of 42,592,379 as per the given fractions.

GCF of 42,592,379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,60,427

LCM of Fractions 55/42,60/592,427/379 is 281820

5 55, 60, 427
11, 12, 427

∴ So the LCM of the given numbers is 5 x 11 x 12 x 427 = 281820

Least Common Multiple of 55,60,427 with GCF Formula

Least Common Multiple of 55,60,427 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 55,60,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,60,427) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,60,427) x common factors =1 x 5 = 5

LCM(55,60,427) = ( 55 × 60 × 427 ) / 5

LCM(55,60,427) = 1409100 / 5

LCM(55,60,427) = 281820


Lets's calculate GCF of 42,592,379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281820/1

Therefore the LCM of Fractions 55/42,60/592,427/379 is 281820

Greatest Common Factor of 42,592,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,592,379 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 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 42,592,379 . The biggest common factor number is the GCF number.
So the greatest common factor 42,592,379 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 55/42, 60/592, 427/379

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 55/42, 60/592, 427/379?

Answer: LCM of Numerators as per given numbers 55/42, 60/592, 427/379 is

LCM of Numerators i.e. for 55,60,427 is 281820

GCF of denominators i.e. for 42,592,379 is 1.

Thus, LCM of Fractions is 281820.Finally, LCM of Fractions for 55/42, 60/592, 427/379 is 281820.