Least Common Multiple of 713/740, 902/365, 228/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 713/740, 902/365, 228/623 quickly i.e. 73316364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 713/740, 902/365, 228/623 is 73316364.

LCM(713/740, 902/365, 228/623) = 73316364

LCM of 713/740, 902/365, 228/623

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 713/740,902/365,228/623

Given numbers are 713/740,902/365,228/623

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 713,902,228

Least Common Multiple of Numerators i.e. LCM of 713,902,228 is 73316364.

GCF of Denominators means GCF of 740,365,623 as per the given fractions.

GCF of 740,365,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 713,902,228

LCM of Fractions 713/740,902/365,228/623 is 73316364

2 713, 902, 228
713, 451, 114

∴ So the LCM of the given numbers is 2 x 713 x 451 x 114 = 73316364

Least Common Multiple of 713,902,228 with GCF Formula

Least Common Multiple of 713,902,228 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 713,902,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,902,228) = 1

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

GCF(713,902,228) x common factors =1 x 2 = 2

LCM(713,902,228) = ( 713 × 902 × 228 ) / 2

LCM(713,902,228) = 146632728 / 2

LCM(713,902,228) = 73316364


Lets's calculate GCF of 740,365,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73316364/1

Therefore the LCM of Fractions 713/740,902/365,228/623 is 73316364

Greatest Common Factor of 740,365,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,365,623 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 740,365,623 . The biggest common factor number is the GCF number.
So the greatest common factor 740,365,623 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 713/740, 902/365, 228/623

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 713/740, 902/365, 228/623?

Answer: LCM of Numerators as per given numbers 713/740, 902/365, 228/623 is

LCM of Numerators i.e. for 713,902,228 is 73316364

GCF of denominators i.e. for 740,365,623 is 1.

Thus, LCM of Fractions is 73316364.Finally, LCM of Fractions for 713/740, 902/365, 228/623 is 73316364.