Least Common Multiple of 295/314, 5109/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 295/314, 5109/143 quickly i.e. 1507155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 295/314, 5109/143 is 1507155.

LCM(295/314, 5109/143) = 1507155

LCM of 295/314, 5109/143

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 295/314,5109/143

Given numbers are 295/314,5109/143

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 295,5109

Least Common Multiple of Numerators i.e. LCM of 295,5109 is 1507155.

GCF of Denominators means GCF of 314,143 as per the given fractions.

GCF of 314,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 295,5109

LCM of Fractions 295/314,5109/143 is 1507155

Given numbers has no common factors except 1. So, there LCM is their product i.e 1507155

Least Common Multiple of 295,5109 with GCF Formula

Least Common Multiple of 295,5109 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 295,5109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,5109) = 1

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

GCF(295,5109) x common factors =1 x 1 = 1

LCM(295,5109) = ( 295 × 5109 ) / 1

LCM(295,5109) = 1507155 / 1

LCM(295,5109) = 1507155


Lets's calculate GCF of 314,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1507155/1

Therefore the LCM of Fractions 295/314,5109/143 is 1507155

Greatest Common Factor of 314,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,143 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 143

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

1,11,13,143

Greatest Common Factor

We found the factors 314,143 . The biggest common factor number is the GCF number.
So the greatest common factor 314,143 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 295/314, 5109/143

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 295/314, 5109/143?

Answer: LCM of Numerators as per given numbers 295/314, 5109/143 is

LCM of Numerators i.e. for 295,5109 is 1507155

GCF of denominators i.e. for 314,143 is 1.

Thus, LCM of Fractions is 1507155.Finally, LCM of Fractions for 295/314, 5109/143 is 1507155.