Least Common Multiple of 5867/856, 9795/7276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5867/856, 9795/7276 quickly i.e. 57467265/428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5867/856, 9795/7276 is 57467265/428.

LCM(5867/856, 9795/7276) = 57467265/428

LCM of 5867/856, 9795/7276

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 5867/856,9795/7276

Given numbers are 5867/856,9795/7276

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 5867,9795

Least Common Multiple of Numerators i.e. LCM of 5867,9795 is 57467265.

GCF of Denominators means GCF of 856,7276 as per the given fractions.

GCF of 856,7276 is 428 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5867,9795

LCM of Fractions 5867/856,9795/7276 is 57467265/428

Given numbers has no common factors except 1. So, there LCM is their product i.e 57467265

Least Common Multiple of 5867,9795 with GCF Formula

Least Common Multiple of 5867,9795 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 5867,9795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5867,9795) = 1

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

GCF(5867,9795) x common factors =1 x 1 = 1

LCM(5867,9795) = ( 5867 × 9795 ) / 1

LCM(5867,9795) = 57467265 / 1

LCM(5867,9795) = 57467265


Lets's calculate GCF of 856,7276

2 856, 7276
2 428, 3638
107 214, 1819
2, 17

∴ So the GCF of the given numbers is 2 x 2 x 107 = 428

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57467265/428

Therefore the LCM of Fractions 5867/856,9795/7276 is 57467265/428

Greatest Common Factor of 856,7276 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,7276 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 7276

List of positive integer factors of 7276 that divides 7276 without a remainder.

1,2,4,17,34,68,107,214,428,1819,3638,7276

Greatest Common Factor

We found the factors 856,7276 . The biggest common factor number is the GCF number.
So the greatest common factor 856,7276 is 428.


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 5867/856, 9795/7276

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 5867/856, 9795/7276?

Answer: LCM of Numerators as per given numbers 5867/856, 9795/7276 is

LCM of Numerators i.e. for 5867,9795 is 57467265

GCF of denominators i.e. for 856,7276 is 428.

Thus, LCM of Fractions is 57467265/428.Finally, LCM of Fractions for 5867/856, 9795/7276 is 57467265/428.