Least Common Multiple of 295/745, 6859/5420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 295/745, 6859/5420 quickly i.e. 404681 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 295/745, 6859/5420 is 404681.

LCM(295/745, 6859/5420) = 404681

LCM of 295/745, 6859/5420

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 295/745,6859/5420

Given numbers are 295/745,6859/5420

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 295,6859

Least Common Multiple of Numerators i.e. LCM of 295,6859 is 2023405.

GCF of Denominators means GCF of 745,5420 as per the given fractions.

GCF of 745,5420 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 295,6859

LCM of Fractions 295/745,6859/5420 is 404681

Given numbers has no common factors except 1. So, there LCM is their product i.e 2023405

Least Common Multiple of 295,6859 with GCF Formula

Least Common Multiple of 295,6859 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 295,6859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,6859) = 1

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

GCF(295,6859) x common factors =1 x 1 = 1

LCM(295,6859) = ( 295 × 6859 ) / 1

LCM(295,6859) = 2023405 / 1

LCM(295,6859) = 2023405


Lets's calculate GCF of 745,5420

5 745, 5420
149, 1084

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2023405/5

Therefore the LCM of Fractions 295/745,6859/5420 is 404681

Greatest Common Factor of 745,5420 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,5420 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 5420

List of positive integer factors of 5420 that divides 5420 without a remainder.

1,2,4,5,10,20,271,542,1084,1355,2710,5420

Greatest Common Factor

We found the factors 745,5420 . The biggest common factor number is the GCF number.
So the greatest common factor 745,5420 is 5.


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 295/745, 6859/5420

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 295/745, 6859/5420?

Answer: LCM of Numerators as per given numbers 295/745, 6859/5420 is

LCM of Numerators i.e. for 295,6859 is 2023405

GCF of denominators i.e. for 745,5420 is 5.

Thus, LCM of Fractions is 404681.Finally, LCM of Fractions for 295/745, 6859/5420 is 404681.