Least Common Multiple of 146/42, 919/2747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 146/42, 919/2747 quickly i.e. 134174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 146/42, 919/2747 is 134174.

LCM(146/42, 919/2747) = 134174

LCM of 146/42, 919/2747

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 146/42,919/2747

Given numbers are 146/42,919/2747

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 146,919

Least Common Multiple of Numerators i.e. LCM of 146,919 is 134174.

GCF of Denominators means GCF of 42,2747 as per the given fractions.

GCF of 42,2747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 146,919

LCM of Fractions 146/42,919/2747 is 134174

Given numbers has no common factors except 1. So, there LCM is their product i.e 134174

Least Common Multiple of 146,919 with GCF Formula

Least Common Multiple of 146,919 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 146,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,919) = 1

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

GCF(146,919) x common factors =1 x 1 = 1

LCM(146,919) = ( 146 × 919 ) / 1

LCM(146,919) = 134174 / 1

LCM(146,919) = 134174


Lets's calculate GCF of 42,2747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134174/1

Therefore the LCM of Fractions 146/42,919/2747 is 134174

Greatest Common Factor of 42,2747 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,2747 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 2747

List of positive integer factors of 2747 that divides 2747 without a remainder.

1,41,67,2747

Greatest Common Factor

We found the factors 42,2747 . The biggest common factor number is the GCF number.
So the greatest common factor 42,2747 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 146/42, 919/2747

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 146/42, 919/2747?

Answer: LCM of Numerators as per given numbers 146/42, 919/2747 is

LCM of Numerators i.e. for 146,919 is 134174

GCF of denominators i.e. for 42,2747 is 1.

Thus, LCM of Fractions is 134174.Finally, LCM of Fractions for 146/42, 919/2747 is 134174.