Least Common Multiple of 3257/512, 9463/6916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3257/512, 9463/6916 quickly i.e. 30820991/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3257/512, 9463/6916 is 30820991/4.

LCM(3257/512, 9463/6916) = 30820991/4

LCM of 3257/512, 9463/6916

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 3257/512,9463/6916

Given numbers are 3257/512,9463/6916

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 3257,9463

Least Common Multiple of Numerators i.e. LCM of 3257,9463 is 30820991.

GCF of Denominators means GCF of 512,6916 as per the given fractions.

GCF of 512,6916 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3257,9463

LCM of Fractions 3257/512,9463/6916 is 30820991/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 30820991

Least Common Multiple of 3257,9463 with GCF Formula

Least Common Multiple of 3257,9463 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 3257,9463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3257,9463) = 1

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

GCF(3257,9463) x common factors =1 x 1 = 1

LCM(3257,9463) = ( 3257 × 9463 ) / 1

LCM(3257,9463) = 30820991 / 1

LCM(3257,9463) = 30820991


Lets's calculate GCF of 512,6916

2 512, 6916
2 256, 3458
128, 1729

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30820991/4

Therefore the LCM of Fractions 3257/512,9463/6916 is 30820991/4

Greatest Common Factor of 512,6916 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,6916 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 6916

List of positive integer factors of 6916 that divides 6916 without a remainder.

1,2,4,7,13,14,19,26,28,38,52,76,91,133,182,247,266,364,494,532,988,1729,3458,6916

Greatest Common Factor

We found the factors 512,6916 . The biggest common factor number is the GCF number.
So the greatest common factor 512,6916 is 4.


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 3257/512, 9463/6916

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 3257/512, 9463/6916?

Answer: LCM of Numerators as per given numbers 3257/512, 9463/6916 is

LCM of Numerators i.e. for 3257,9463 is 30820991

GCF of denominators i.e. for 512,6916 is 4.

Thus, LCM of Fractions is 30820991/4.Finally, LCM of Fractions for 3257/512, 9463/6916 is 30820991/4.