Least Common Multiple of 769/78, 693/98, 364/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/78, 693/98, 364/912 quickly i.e. 13855842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/78, 693/98, 364/912 is 13855842.

LCM(769/78, 693/98, 364/912) = 13855842

LCM of 769/78, 693/98, 364/912

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 769/78,693/98,364/912

Given numbers are 769/78,693/98,364/912

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 769,693,364

Least Common Multiple of Numerators i.e. LCM of 769,693,364 is 27711684.

GCF of Denominators means GCF of 78,98,912 as per the given fractions.

GCF of 78,98,912 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,693,364

LCM of Fractions 769/78,693/98,364/912 is 13855842

7 769, 693, 364
769, 99, 52

∴ So the LCM of the given numbers is 7 x 769 x 99 x 52 = 27711684

Least Common Multiple of 769,693,364 with GCF Formula

Least Common Multiple of 769,693,364 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 769,693,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,693,364) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(769,693,364) x common factors =1 x 7 = 7

LCM(769,693,364) = ( 769 × 693 × 364 ) / 7

LCM(769,693,364) = 193981788 / 7

LCM(769,693,364) = 27711684


Lets's calculate GCF of 78,98,912

2 78, 98, 912
39, 49, 456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27711684/2

Therefore the LCM of Fractions 769/78,693/98,364/912 is 13855842

Greatest Common Factor of 78,98,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,98,912 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 78,98,912 . The biggest common factor number is the GCF number.
So the greatest common factor 78,98,912 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 769/78, 693/98, 364/912

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 769/78, 693/98, 364/912?

Answer: LCM of Numerators as per given numbers 769/78, 693/98, 364/912 is

LCM of Numerators i.e. for 769,693,364 is 27711684

GCF of denominators i.e. for 78,98,912 is 2.

Thus, LCM of Fractions is 13855842.Finally, LCM of Fractions for 769/78, 693/98, 364/912 is 13855842.