Least Common Multiple of 500/923, 296/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/923, 296/710 quickly i.e. 37000/71 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/923, 296/710 is 37000/71.

LCM(500/923, 296/710) = 37000/71

LCM of 500/923, 296/710

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 500/923,296/710

Given numbers are 500/923,296/710

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 500,296

Least Common Multiple of Numerators i.e. LCM of 500,296 is 37000.

GCF of Denominators means GCF of 923,710 as per the given fractions.

GCF of 923,710 is 71 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,296

LCM of Fractions 500/923,296/710 is 37000/71

2 500, 296
2 250, 148
125, 74

∴ So the LCM of the given numbers is 2 x 2 x 125 x 74 = 37000

Least Common Multiple of 500,296 with GCF Formula

Least Common Multiple of 500,296 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 500,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,296) = 4

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

GCF(500,296) x common factors =4 x 1 = 4

LCM(500,296) = ( 500 × 296 ) / 4

LCM(500,296) = 148000 / 4

LCM(500,296) = 37000


Lets's calculate GCF of 923,710

71 923, 710
13, 10

∴ So the GCF of the given numbers is 71 = 71

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37000/71

Therefore the LCM of Fractions 500/923,296/710 is 37000/71

Greatest Common Factor of 923,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,710 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 923,710 . The biggest common factor number is the GCF number.
So the greatest common factor 923,710 is 71.


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 500/923, 296/710

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 500/923, 296/710?

Answer: LCM of Numerators as per given numbers 500/923, 296/710 is

LCM of Numerators i.e. for 500,296 is 37000

GCF of denominators i.e. for 923,710 is 71.

Thus, LCM of Fractions is 37000/71.Finally, LCM of Fractions for 500/923, 296/710 is 37000/71.