Least Common Multiple of 724/226, 932/174, 145/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/226, 932/174, 145/137 quickly i.e. 24460340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/226, 932/174, 145/137 is 24460340.

LCM(724/226, 932/174, 145/137) = 24460340

LCM of 724/226, 932/174, 145/137

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 724/226,932/174,145/137

Given numbers are 724/226,932/174,145/137

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 724,932,145

Least Common Multiple of Numerators i.e. LCM of 724,932,145 is 24460340.

GCF of Denominators means GCF of 226,174,137 as per the given fractions.

GCF of 226,174,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,932,145

LCM of Fractions 724/226,932/174,145/137 is 24460340

2 724, 932, 145
2 362, 466, 145
181, 233, 145

∴ So the LCM of the given numbers is 2 x 2 x 181 x 233 x 145 = 24460340

Least Common Multiple of 724,932,145 with GCF Formula

Least Common Multiple of 724,932,145 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 724,932,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,932,145) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(724,932,145) x common factors =1 x 4 = 4

LCM(724,932,145) = ( 724 × 932 × 145 ) / 4

LCM(724,932,145) = 97841360 / 4

LCM(724,932,145) = 24460340


Lets's calculate GCF of 226,174,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24460340/1

Therefore the LCM of Fractions 724/226,932/174,145/137 is 24460340

Greatest Common Factor of 226,174,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,174,137 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 226,174,137 . The biggest common factor number is the GCF number.
So the greatest common factor 226,174,137 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 724/226, 932/174, 145/137

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 724/226, 932/174, 145/137?

Answer: LCM of Numerators as per given numbers 724/226, 932/174, 145/137 is

LCM of Numerators i.e. for 724,932,145 is 24460340

GCF of denominators i.e. for 226,174,137 is 1.

Thus, LCM of Fractions is 24460340.Finally, LCM of Fractions for 724/226, 932/174, 145/137 is 24460340.