Least Common Multiple of 6085/48, 1015/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6085/48, 1015/976 quickly i.e. 1235255/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6085/48, 1015/976 is 1235255/16.

LCM(6085/48, 1015/976) = 1235255/16

LCM of 6085/48, 1015/976

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 6085/48,1015/976

Given numbers are 6085/48,1015/976

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 6085,1015

Least Common Multiple of Numerators i.e. LCM of 6085,1015 is 1235255.

GCF of Denominators means GCF of 48,976 as per the given fractions.

GCF of 48,976 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6085,1015

LCM of Fractions 6085/48,1015/976 is 1235255/16

5 6085, 1015
1217, 203

∴ So the LCM of the given numbers is 5 x 1217 x 203 = 1235255

Least Common Multiple of 6085,1015 with GCF Formula

Least Common Multiple of 6085,1015 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 6085,1015 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6085,1015) = 5

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

GCF(6085,1015) x common factors =5 x 1 = 5

LCM(6085,1015) = ( 6085 × 1015 ) / 5

LCM(6085,1015) = 6176275 / 5

LCM(6085,1015) = 1235255


Lets's calculate GCF of 48,976

2 48, 976
2 24, 488
2 12, 244
2 6, 122
3, 61

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1235255/16

Therefore the LCM of Fractions 6085/48,1015/976 is 1235255/16

Greatest Common Factor of 48,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,976 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 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 48,976 . The biggest common factor number is the GCF number.
So the greatest common factor 48,976 is 16.


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 6085/48, 1015/976

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 6085/48, 1015/976?

Answer: LCM of Numerators as per given numbers 6085/48, 1015/976 is

LCM of Numerators i.e. for 6085,1015 is 1235255

GCF of denominators i.e. for 48,976 is 16.

Thus, LCM of Fractions is 1235255/16.Finally, LCM of Fractions for 6085/48, 1015/976 is 1235255/16.