Least Common Multiple of 786/646, 532/608, 916/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 786/646, 532/608, 916/686 quickly i.e. 23939202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 786/646, 532/608, 916/686 is 23939202.

LCM(786/646, 532/608, 916/686) = 23939202

LCM of 786/646, 532/608, 916/686

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 786/646,532/608,916/686

Given numbers are 786/646,532/608,916/686

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 786,532,916

Least Common Multiple of Numerators i.e. LCM of 786,532,916 is 47878404.

GCF of Denominators means GCF of 646,608,686 as per the given fractions.

GCF of 646,608,686 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 786,532,916

LCM of Fractions 786/646,532/608,916/686 is 23939202

2 786, 532, 916
2 393, 266, 458
393, 133, 229

∴ So the LCM of the given numbers is 2 x 2 x 393 x 133 x 229 = 47878404

Least Common Multiple of 786,532,916 with GCF Formula

Least Common Multiple of 786,532,916 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 786,532,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,532,916) = 2

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

GCF(786,532,916) x common factors =2 x 4 = 8

LCM(786,532,916) = ( 786 × 532 × 916 ) / 8

LCM(786,532,916) = 383027232 / 8

LCM(786,532,916) = 47878404


Lets's calculate GCF of 646,608,686

2 646, 608, 686
323, 304, 343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47878404/2

Therefore the LCM of Fractions 786/646,532/608,916/686 is 23939202

Greatest Common Factor of 646,608,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,608,686 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 646,608,686 . The biggest common factor number is the GCF number.
So the greatest common factor 646,608,686 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 786/646, 532/608, 916/686

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 786/646, 532/608, 916/686?

Answer: LCM of Numerators as per given numbers 786/646, 532/608, 916/686 is

LCM of Numerators i.e. for 786,532,916 is 47878404

GCF of denominators i.e. for 646,608,686 is 2.

Thus, LCM of Fractions is 23939202.Finally, LCM of Fractions for 786/646, 532/608, 916/686 is 23939202.