Least Common Multiple of 78/227, 941/698, 146/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/227, 941/698, 146/279 quickly i.e. 5358054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/227, 941/698, 146/279 is 5358054.

LCM(78/227, 941/698, 146/279) = 5358054

LCM of 78/227, 941/698, 146/279

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 78/227,941/698,146/279

Given numbers are 78/227,941/698,146/279

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 78,941,146

Least Common Multiple of Numerators i.e. LCM of 78,941,146 is 5358054.

GCF of Denominators means GCF of 227,698,279 as per the given fractions.

GCF of 227,698,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,941,146

LCM of Fractions 78/227,941/698,146/279 is 5358054

2 78, 941, 146
39, 941, 73

∴ So the LCM of the given numbers is 2 x 39 x 941 x 73 = 5358054

Least Common Multiple of 78,941,146 with GCF Formula

Least Common Multiple of 78,941,146 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 78,941,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,941,146) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,941,146) x common factors =1 x 2 = 2

LCM(78,941,146) = ( 78 × 941 × 146 ) / 2

LCM(78,941,146) = 10716108 / 2

LCM(78,941,146) = 5358054


Lets's calculate GCF of 227,698,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5358054/1

Therefore the LCM of Fractions 78/227,941/698,146/279 is 5358054

Greatest Common Factor of 227,698,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,698,279 By Matching Biggest Common Factor Method

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 227,698,279 . The biggest common factor number is the GCF number.
So the greatest common factor 227,698,279 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 78/227, 941/698, 146/279

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 78/227, 941/698, 146/279?

Answer: LCM of Numerators as per given numbers 78/227, 941/698, 146/279 is

LCM of Numerators i.e. for 78,941,146 is 5358054

GCF of denominators i.e. for 227,698,279 is 1.

Thus, LCM of Fractions is 5358054.Finally, LCM of Fractions for 78/227, 941/698, 146/279 is 5358054.