Least Common Multiple of 3463/48, 6917/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3463/48, 6917/524 quickly i.e. 23953571/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3463/48, 6917/524 is 23953571/4.

LCM(3463/48, 6917/524) = 23953571/4

LCM of 3463/48, 6917/524

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 3463/48,6917/524

Given numbers are 3463/48,6917/524

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 3463,6917

Least Common Multiple of Numerators i.e. LCM of 3463,6917 is 23953571.

GCF of Denominators means GCF of 48,524 as per the given fractions.

GCF of 48,524 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3463,6917

LCM of Fractions 3463/48,6917/524 is 23953571/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 23953571

Least Common Multiple of 3463,6917 with GCF Formula

Least Common Multiple of 3463,6917 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 3463,6917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3463,6917) = 1

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

GCF(3463,6917) x common factors =1 x 1 = 1

LCM(3463,6917) = ( 3463 × 6917 ) / 1

LCM(3463,6917) = 23953571 / 1

LCM(3463,6917) = 23953571


Lets's calculate GCF of 48,524

2 48, 524
2 24, 262
12, 131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23953571/4

Therefore the LCM of Fractions 3463/48,6917/524 is 23953571/4

Greatest Common Factor of 48,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,524 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 48,524 . The biggest common factor number is the GCF number.
So the greatest common factor 48,524 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 3463/48, 6917/524

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 3463/48, 6917/524?

Answer: LCM of Numerators as per given numbers 3463/48, 6917/524 is

LCM of Numerators i.e. for 3463,6917 is 23953571

GCF of denominators i.e. for 48,524 is 4.

Thus, LCM of Fractions is 23953571/4.Finally, LCM of Fractions for 3463/48, 6917/524 is 23953571/4.