Least Common Multiple of 7770/774, 2074/6274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7770/774, 2074/6274 quickly i.e. 4028745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7770/774, 2074/6274 is 4028745.

LCM(7770/774, 2074/6274) = 4028745

LCM of 7770/774, 2074/6274

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 7770/774,2074/6274

Given numbers are 7770/774,2074/6274

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 7770,2074

Least Common Multiple of Numerators i.e. LCM of 7770,2074 is 8057490.

GCF of Denominators means GCF of 774,6274 as per the given fractions.

GCF of 774,6274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7770,2074

LCM of Fractions 7770/774,2074/6274 is 4028745

2 7770, 2074
3885, 1037

∴ So the LCM of the given numbers is 2 x 3885 x 1037 = 8057490

Least Common Multiple of 7770,2074 with GCF Formula

Least Common Multiple of 7770,2074 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 7770,2074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7770,2074) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(7770,2074) x common factors =2 x 1 = 2

LCM(7770,2074) = ( 7770 × 2074 ) / 2

LCM(7770,2074) = 16114980 / 2

LCM(7770,2074) = 8057490


Lets's calculate GCF of 774,6274

2 774, 6274
387, 3137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8057490/2

Therefore the LCM of Fractions 7770/774,2074/6274 is 4028745

Greatest Common Factor of 774,6274 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,6274 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 6274

List of positive integer factors of 6274 that divides 6274 without a remainder.

1,2,3137,6274

Greatest Common Factor

We found the factors 774,6274 . The biggest common factor number is the GCF number.
So the greatest common factor 774,6274 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 7770/774, 2074/6274

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 7770/774, 2074/6274?

Answer: LCM of Numerators as per given numbers 7770/774, 2074/6274 is

LCM of Numerators i.e. for 7770,2074 is 8057490

GCF of denominators i.e. for 774,6274 is 2.

Thus, LCM of Fractions is 4028745.Finally, LCM of Fractions for 7770/774, 2074/6274 is 4028745.