Least Common Multiple of 63/780, 64/656, 430/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/780, 64/656, 430/314 quickly i.e. 433440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/780, 64/656, 430/314 is 433440.

LCM(63/780, 64/656, 430/314) = 433440

LCM of 63/780, 64/656, 430/314

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 63/780,64/656,430/314

Given numbers are 63/780,64/656,430/314

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 63,64,430

Least Common Multiple of Numerators i.e. LCM of 63,64,430 is 866880.

GCF of Denominators means GCF of 780,656,314 as per the given fractions.

GCF of 780,656,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,64,430

LCM of Fractions 63/780,64/656,430/314 is 433440

2 63, 64, 430
63, 32, 215

∴ So the LCM of the given numbers is 2 x 63 x 32 x 215 = 866880

Least Common Multiple of 63,64,430 with GCF Formula

Least Common Multiple of 63,64,430 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 63,64,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,64,430) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(63,64,430) x common factors =1 x 2 = 2

LCM(63,64,430) = ( 63 × 64 × 430 ) / 2

LCM(63,64,430) = 1733760 / 2

LCM(63,64,430) = 866880


Lets's calculate GCF of 780,656,314

2 780, 656, 314
390, 328, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 866880/2

Therefore the LCM of Fractions 63/780,64/656,430/314 is 433440

Greatest Common Factor of 780,656,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,656,314 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 780,656,314 . The biggest common factor number is the GCF number.
So the greatest common factor 780,656,314 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 63/780, 64/656, 430/314

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 63/780, 64/656, 430/314?

Answer: LCM of Numerators as per given numbers 63/780, 64/656, 430/314 is

LCM of Numerators i.e. for 63,64,430 is 866880

GCF of denominators i.e. for 780,656,314 is 2.

Thus, LCM of Fractions is 433440.Finally, LCM of Fractions for 63/780, 64/656, 430/314 is 433440.