Least Common Multiple of 702/68, 180/10, 406/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 702/68, 180/10, 406/544 quickly i.e. 712530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 702/68, 180/10, 406/544 is 712530.

LCM(702/68, 180/10, 406/544) = 712530

LCM of 702/68, 180/10, 406/544

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 702/68,180/10,406/544

Given numbers are 702/68,180/10,406/544

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 702,180,406

Least Common Multiple of Numerators i.e. LCM of 702,180,406 is 1425060.

GCF of Denominators means GCF of 68,10,544 as per the given fractions.

GCF of 68,10,544 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 702,180,406

LCM of Fractions 702/68,180/10,406/544 is 712530

2 702, 180, 406
3 351, 90, 203
3 117, 30, 203
39, 10, 203

∴ So the LCM of the given numbers is 2 x 3 x 3 x 39 x 10 x 203 = 1425060

Least Common Multiple of 702,180,406 with GCF Formula

Least Common Multiple of 702,180,406 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 702,180,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,180,406) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(702,180,406) x common factors =2 x 18 = 36

LCM(702,180,406) = ( 702 × 180 × 406 ) / 36

LCM(702,180,406) = 51302160 / 36

LCM(702,180,406) = 1425060


Lets's calculate GCF of 68,10,544

2 68, 10, 544
34, 5, 272

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1425060/2

Therefore the LCM of Fractions 702/68,180/10,406/544 is 712530

Greatest Common Factor of 68,10,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,10,544 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 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 68,10,544 . The biggest common factor number is the GCF number.
So the greatest common factor 68,10,544 is 2.


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 702/68, 180/10, 406/544

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 702/68, 180/10, 406/544?

Answer: LCM of Numerators as per given numbers 702/68, 180/10, 406/544 is

LCM of Numerators i.e. for 702,180,406 is 1425060

GCF of denominators i.e. for 68,10,544 is 2.

Thus, LCM of Fractions is 712530.Finally, LCM of Fractions for 702/68, 180/10, 406/544 is 712530.