Least Common Multiple of 48/65, 876/66, 293/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/65, 876/66, 293/461 quickly i.e. 1026672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/65, 876/66, 293/461 is 1026672.

LCM(48/65, 876/66, 293/461) = 1026672

LCM of 48/65, 876/66, 293/461

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 48/65,876/66,293/461

Given numbers are 48/65,876/66,293/461

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 48,876,293

Least Common Multiple of Numerators i.e. LCM of 48,876,293 is 1026672.

GCF of Denominators means GCF of 65,66,461 as per the given fractions.

GCF of 65,66,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,876,293

LCM of Fractions 48/65,876/66,293/461 is 1026672

2 48, 876, 293
2 24, 438, 293
3 12, 219, 293
4, 73, 293

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 73 x 293 = 1026672

Least Common Multiple of 48,876,293 with GCF Formula

Least Common Multiple of 48,876,293 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 48,876,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,876,293) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(48,876,293) x common factors =1 x 12 = 12

LCM(48,876,293) = ( 48 × 876 × 293 ) / 12

LCM(48,876,293) = 12320064 / 12

LCM(48,876,293) = 1026672


Lets's calculate GCF of 65,66,461

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1026672/1

Therefore the LCM of Fractions 48/65,876/66,293/461 is 1026672

Greatest Common Factor of 65,66,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,66,461 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 65,66,461 . The biggest common factor number is the GCF number.
So the greatest common factor 65,66,461 is 1.


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 48/65, 876/66, 293/461

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 48/65, 876/66, 293/461?

Answer: LCM of Numerators as per given numbers 48/65, 876/66, 293/461 is

LCM of Numerators i.e. for 48,876,293 is 1026672

GCF of denominators i.e. for 65,66,461 is 1.

Thus, LCM of Fractions is 1026672.Finally, LCM of Fractions for 48/65, 876/66, 293/461 is 1026672.