Least Common Multiple of 9502/774, 8902/7755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9502/774, 8902/7755 quickly i.e. 42293402/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9502/774, 8902/7755 is 42293402/3.

LCM(9502/774, 8902/7755) = 42293402/3

LCM of 9502/774, 8902/7755

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 9502/774,8902/7755

Given numbers are 9502/774,8902/7755

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 9502,8902

Least Common Multiple of Numerators i.e. LCM of 9502,8902 is 42293402.

GCF of Denominators means GCF of 774,7755 as per the given fractions.

GCF of 774,7755 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9502,8902

LCM of Fractions 9502/774,8902/7755 is 42293402/3

2 9502, 8902
4751, 4451

∴ So the LCM of the given numbers is 2 x 4751 x 4451 = 42293402

Least Common Multiple of 9502,8902 with GCF Formula

Least Common Multiple of 9502,8902 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 9502,8902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9502,8902) = 2

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

GCF(9502,8902) x common factors =2 x 1 = 2

LCM(9502,8902) = ( 9502 × 8902 ) / 2

LCM(9502,8902) = 84586804 / 2

LCM(9502,8902) = 42293402


Lets's calculate GCF of 774,7755

3 774, 7755
258, 2585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42293402/3

Therefore the LCM of Fractions 9502/774,8902/7755 is 42293402/3

Greatest Common Factor of 774,7755 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,7755 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 7755

List of positive integer factors of 7755 that divides 7755 without a remainder.

1,3,5,11,15,33,47,55,141,165,235,517,705,1551,2585,7755

Greatest Common Factor

We found the factors 774,7755 . The biggest common factor number is the GCF number.
So the greatest common factor 774,7755 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9502/774, 8902/7755

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 9502/774, 8902/7755?

Answer: LCM of Numerators as per given numbers 9502/774, 8902/7755 is

LCM of Numerators i.e. for 9502,8902 is 42293402

GCF of denominators i.e. for 774,7755 is 3.

Thus, LCM of Fractions is 42293402/3.Finally, LCM of Fractions for 9502/774, 8902/7755 is 42293402/3.