Least Common Multiple of 55/143, 6235/3094

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/143, 6235/3094 quickly i.e. 68585/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/143, 6235/3094 is 68585/13.

LCM(55/143, 6235/3094) = 68585/13

LCM of 55/143, 6235/3094

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 55/143,6235/3094

Given numbers are 55/143,6235/3094

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 55,6235

Least Common Multiple of Numerators i.e. LCM of 55,6235 is 68585.

GCF of Denominators means GCF of 143,3094 as per the given fractions.

GCF of 143,3094 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,6235

LCM of Fractions 55/143,6235/3094 is 68585/13

5 55, 6235
11, 1247

∴ So the LCM of the given numbers is 5 x 11 x 1247 = 68585

Least Common Multiple of 55,6235 with GCF Formula

Least Common Multiple of 55,6235 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 55,6235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,6235) = 5

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

GCF(55,6235) x common factors =5 x 1 = 5

LCM(55,6235) = ( 55 × 6235 ) / 5

LCM(55,6235) = 342925 / 5

LCM(55,6235) = 68585


Lets's calculate GCF of 143,3094

13 143, 3094
11, 238

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68585/13

Therefore the LCM of Fractions 55/143,6235/3094 is 68585/13

Greatest Common Factor of 143,3094 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,3094 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 3094

List of positive integer factors of 3094 that divides 3094 without a remainder.

1,2,7,13,14,17,26,34,91,119,182,221,238,442,1547,3094

Greatest Common Factor

We found the factors 143,3094 . The biggest common factor number is the GCF number.
So the greatest common factor 143,3094 is 13.


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 55/143, 6235/3094

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 55/143, 6235/3094?

Answer: LCM of Numerators as per given numbers 55/143, 6235/3094 is

LCM of Numerators i.e. for 55,6235 is 68585

GCF of denominators i.e. for 143,3094 is 13.

Thus, LCM of Fractions is 68585/13.Finally, LCM of Fractions for 55/143, 6235/3094 is 68585/13.