Least Common Multiple of 68/774, 49/807, 832/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/774, 49/807, 832/291 quickly i.e. 693056/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/774, 49/807, 832/291 is 693056/3.

LCM(68/774, 49/807, 832/291) = 693056/3

LCM of 68/774, 49/807, 832/291

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 68/774,49/807,832/291

Given numbers are 68/774,49/807,832/291

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 68,49,832

Least Common Multiple of Numerators i.e. LCM of 68,49,832 is 693056.

GCF of Denominators means GCF of 774,807,291 as per the given fractions.

GCF of 774,807,291 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,49,832

LCM of Fractions 68/774,49/807,832/291 is 693056/3

2 68, 49, 832
2 34, 49, 416
17, 49, 208

∴ So the LCM of the given numbers is 2 x 2 x 17 x 49 x 208 = 693056

Least Common Multiple of 68,49,832 with GCF Formula

Least Common Multiple of 68,49,832 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 68,49,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,49,832) = 1

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

GCF(68,49,832) x common factors =1 x 4 = 4

LCM(68,49,832) = ( 68 × 49 × 832 ) / 4

LCM(68,49,832) = 2772224 / 4

LCM(68,49,832) = 693056


Lets's calculate GCF of 774,807,291

3 774, 807, 291
258, 269, 97

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 693056/3

Therefore the LCM of Fractions 68/774,49/807,832/291 is 693056/3

Greatest Common Factor of 774,807,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,807,291 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 774,807,291 . The biggest common factor number is the GCF number.
So the greatest common factor 774,807,291 is 3.


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 68/774, 49/807, 832/291

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 68/774, 49/807, 832/291?

Answer: LCM of Numerators as per given numbers 68/774, 49/807, 832/291 is

LCM of Numerators i.e. for 68,49,832 is 693056

GCF of denominators i.e. for 774,807,291 is 3.

Thus, LCM of Fractions is 693056/3.Finally, LCM of Fractions for 68/774, 49/807, 832/291 is 693056/3.