Least Common Multiple of 23/610, 34/917, 562/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/610, 34/917, 562/803 quickly i.e. 219742 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, 34/917, 562/803 is 219742.

LCM(23/610, 34/917, 562/803) = 219742

LCM of 23/610, 34/917, 562/803

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 23/610,34/917,562/803

Given numbers are 23/610,34/917,562/803

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 23,34,562

Least Common Multiple of Numerators i.e. LCM of 23,34,562 is 219742.

GCF of Denominators means GCF of 610,917,803 as per the given fractions.

GCF of 610,917,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,34,562

LCM of Fractions 23/610,34/917,562/803 is 219742

2 23, 34, 562
23, 17, 281

∴ So the LCM of the given numbers is 2 x 23 x 17 x 281 = 219742

Least Common Multiple of 23,34,562 with GCF Formula

Least Common Multiple of 23,34,562 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 23,34,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,34,562) = 1

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

GCF(23,34,562) x common factors =1 x 2 = 2

LCM(23,34,562) = ( 23 × 34 × 562 ) / 2

LCM(23,34,562) = 439484 / 2

LCM(23,34,562) = 219742


Lets's calculate GCF of 610,917,803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219742/1

Therefore the LCM of Fractions 23/610,34/917,562/803 is 219742

Greatest Common Factor of 610,917,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,917,803 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 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 610,917,803 . The biggest common factor number is the GCF number.
So the greatest common factor 610,917,803 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 23/610, 34/917, 562/803

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, 34/917, 562/803?

Answer: LCM of Numerators as per given numbers 23/610, 34/917, 562/803 is

LCM of Numerators i.e. for 23,34,562 is 219742

GCF of denominators i.e. for 610,917,803 is 1.

Thus, LCM of Fractions is 219742.Finally, LCM of Fractions for 23/610, 34/917, 562/803 is 219742.