Least Common Multiple of 68/63, 80/31, 844/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/63, 80/31, 844/402 quickly i.e. 286960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/63, 80/31, 844/402 is 286960.

LCM(68/63, 80/31, 844/402) = 286960

LCM of 68/63, 80/31, 844/402

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 68/63,80/31,844/402

Given numbers are 68/63,80/31,844/402

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 68,80,844

Least Common Multiple of Numerators i.e. LCM of 68,80,844 is 286960.

GCF of Denominators means GCF of 63,31,402 as per the given fractions.

GCF of 63,31,402 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,80,844

LCM of Fractions 68/63,80/31,844/402 is 286960

2 68, 80, 844
2 34, 40, 422
17, 20, 211

∴ So the LCM of the given numbers is 2 x 2 x 17 x 20 x 211 = 286960

Least Common Multiple of 68,80,844 with GCF Formula

Least Common Multiple of 68,80,844 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 68,80,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,80,844) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(68,80,844) x common factors =4 x 4 = 16

LCM(68,80,844) = ( 68 × 80 × 844 ) / 16

LCM(68,80,844) = 4591360 / 16

LCM(68,80,844) = 286960


Lets's calculate GCF of 63,31,402

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286960/1

Therefore the LCM of Fractions 68/63,80/31,844/402 is 286960

Greatest Common Factor of 63,31,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,31,402 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 63,31,402 . The biggest common factor number is the GCF number.
So the greatest common factor 63,31,402 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 68/63, 80/31, 844/402

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 68/63, 80/31, 844/402?

Answer: LCM of Numerators as per given numbers 68/63, 80/31, 844/402 is

LCM of Numerators i.e. for 68,80,844 is 286960

GCF of denominators i.e. for 63,31,402 is 1.

Thus, LCM of Fractions is 286960.Finally, LCM of Fractions for 68/63, 80/31, 844/402 is 286960.