Least Common Multiple of 736/68, 350/21, 500/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/68, 350/21, 500/65 quickly i.e. 644000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/68, 350/21, 500/65 is 644000.

LCM(736/68, 350/21, 500/65) = 644000

LCM of 736/68, 350/21, 500/65

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 736/68,350/21,500/65

Given numbers are 736/68,350/21,500/65

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 736,350,500

Least Common Multiple of Numerators i.e. LCM of 736,350,500 is 644000.

GCF of Denominators means GCF of 68,21,65 as per the given fractions.

GCF of 68,21,65 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,350,500

LCM of Fractions 736/68,350/21,500/65 is 644000

2 736, 350, 500
2 368, 175, 250
5 184, 175, 125
5 184, 35, 25
184, 7, 5

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 184 x 7 x 5 = 644000

Least Common Multiple of 736,350,500 with GCF Formula

Least Common Multiple of 736,350,500 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 736,350,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,350,500) = 2

common factors(in case of two or more numbers have common factors) = 100

GCF(736,350,500) x common factors =2 x 100 = 200

LCM(736,350,500) = ( 736 × 350 × 500 ) / 200

LCM(736,350,500) = 128800000 / 200

LCM(736,350,500) = 644000


Lets's calculate GCF of 68,21,65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 644000/1

Therefore the LCM of Fractions 736/68,350/21,500/65 is 644000

Greatest Common Factor of 68,21,65 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,21,65 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Greatest Common Factor

We found the factors 68,21,65 . The biggest common factor number is the GCF number.
So the greatest common factor 68,21,65 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 736/68, 350/21, 500/65

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 736/68, 350/21, 500/65?

Answer: LCM of Numerators as per given numbers 736/68, 350/21, 500/65 is

LCM of Numerators i.e. for 736,350,500 is 644000

GCF of denominators i.e. for 68,21,65 is 1.

Thus, LCM of Fractions is 644000.Finally, LCM of Fractions for 736/68, 350/21, 500/65 is 644000.