Least Common Multiple of 23/610, 725/430, 346/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/610, 725/430, 346/355 quickly i.e. 1153910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/610, 725/430, 346/355 is 1153910.

LCM(23/610, 725/430, 346/355) = 1153910

LCM of 23/610, 725/430, 346/355

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 23/610,725/430,346/355

Given numbers are 23/610,725/430,346/355

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 23,725,346

Least Common Multiple of Numerators i.e. LCM of 23,725,346 is 5769550.

GCF of Denominators means GCF of 610,430,355 as per the given fractions.

GCF of 610,430,355 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,725,346

LCM of Fractions 23/610,725/430,346/355 is 1153910

Given numbers has no common factors except 1. So, there LCM is their product i.e 5769550

Least Common Multiple of 23,725,346 with GCF Formula

Least Common Multiple of 23,725,346 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 23,725,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,725,346) = 1

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

GCF(23,725,346) x common factors =1 x 1 = 1

LCM(23,725,346) = ( 23 × 725 × 346 ) / 1

LCM(23,725,346) = 5769550 / 1

LCM(23,725,346) = 5769550


Lets's calculate GCF of 610,430,355

5 610, 430, 355
122, 86, 71

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5769550/5

Therefore the LCM of Fractions 23/610,725/430,346/355 is 1153910

Greatest Common Factor of 610,430,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,430,355 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 610,430,355 . The biggest common factor number is the GCF number.
So the greatest common factor 610,430,355 is 5.


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 23/610, 725/430, 346/355

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 23/610, 725/430, 346/355?

Answer: LCM of Numerators as per given numbers 23/610, 725/430, 346/355 is

LCM of Numerators i.e. for 23,725,346 is 5769550

GCF of denominators i.e. for 610,430,355 is 5.

Thus, LCM of Fractions is 1153910.Finally, LCM of Fractions for 23/610, 725/430, 346/355 is 1153910.