Least Common Multiple of 678/785, 782/963, 228/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/785, 782/963, 228/449 quickly i.e. 10073724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/785, 782/963, 228/449 is 10073724.

LCM(678/785, 782/963, 228/449) = 10073724

LCM of 678/785, 782/963, 228/449

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 678/785,782/963,228/449

Given numbers are 678/785,782/963,228/449

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 678,782,228

Least Common Multiple of Numerators i.e. LCM of 678,782,228 is 10073724.

GCF of Denominators means GCF of 785,963,449 as per the given fractions.

GCF of 785,963,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,782,228

LCM of Fractions 678/785,782/963,228/449 is 10073724

2 678, 782, 228
3 339, 391, 114
113, 391, 38

∴ So the LCM of the given numbers is 2 x 3 x 113 x 391 x 38 = 10073724

Least Common Multiple of 678,782,228 with GCF Formula

Least Common Multiple of 678,782,228 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 678,782,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,782,228) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(678,782,228) x common factors =2 x 6 = 12

LCM(678,782,228) = ( 678 × 782 × 228 ) / 12

LCM(678,782,228) = 120884688 / 12

LCM(678,782,228) = 10073724


Lets's calculate GCF of 785,963,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10073724/1

Therefore the LCM of Fractions 678/785,782/963,228/449 is 10073724

Greatest Common Factor of 785,963,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,963,449 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 785,963,449 . The biggest common factor number is the GCF number.
So the greatest common factor 785,963,449 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 678/785, 782/963, 228/449

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 678/785, 782/963, 228/449?

Answer: LCM of Numerators as per given numbers 678/785, 782/963, 228/449 is

LCM of Numerators i.e. for 678,782,228 is 10073724

GCF of denominators i.e. for 785,963,449 is 1.

Thus, LCM of Fractions is 10073724.Finally, LCM of Fractions for 678/785, 782/963, 228/449 is 10073724.