Least Common Multiple of 23/213, 920/176, 145/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/213, 920/176, 145/598 quickly i.e. 26680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/213, 920/176, 145/598 is 26680.

LCM(23/213, 920/176, 145/598) = 26680

LCM of 23/213, 920/176, 145/598

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 23/213,920/176,145/598

Given numbers are 23/213,920/176,145/598

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 23,920,145

Least Common Multiple of Numerators i.e. LCM of 23,920,145 is 26680.

GCF of Denominators means GCF of 213,176,598 as per the given fractions.

GCF of 213,176,598 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,920,145

LCM of Fractions 23/213,920/176,145/598 is 26680

5 23, 920, 145
23 23, 184, 29
1, 8, 29

∴ So the LCM of the given numbers is 5 x 23 x 1 x 8 x 29 = 26680

Least Common Multiple of 23,920,145 with GCF Formula

Least Common Multiple of 23,920,145 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 23,920,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,920,145) = 1

common factors(in case of two or more numbers have common factors) = 115

GCF(23,920,145) x common factors =1 x 115 = 115

LCM(23,920,145) = ( 23 × 920 × 145 ) / 115

LCM(23,920,145) = 3068200 / 115

LCM(23,920,145) = 26680


Lets's calculate GCF of 213,176,598

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26680/1

Therefore the LCM of Fractions 23/213,920/176,145/598 is 26680

Greatest Common Factor of 213,176,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,176,598 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 213,176,598 . The biggest common factor number is the GCF number.
So the greatest common factor 213,176,598 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 23/213, 920/176, 145/598

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 23/213, 920/176, 145/598?

Answer: LCM of Numerators as per given numbers 23/213, 920/176, 145/598 is

LCM of Numerators i.e. for 23,920,145 is 26680

GCF of denominators i.e. for 213,176,598 is 1.

Thus, LCM of Fractions is 26680.Finally, LCM of Fractions for 23/213, 920/176, 145/598 is 26680.