Least Common Multiple of 354/83, 607/5794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/83, 607/5794 quickly i.e. 214878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/83, 607/5794 is 214878.

LCM(354/83, 607/5794) = 214878

LCM of 354/83, 607/5794

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 354/83,607/5794

Given numbers are 354/83,607/5794

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 354,607

Least Common Multiple of Numerators i.e. LCM of 354,607 is 214878.

GCF of Denominators means GCF of 83,5794 as per the given fractions.

GCF of 83,5794 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,607

LCM of Fractions 354/83,607/5794 is 214878

Given numbers has no common factors except 1. So, there LCM is their product i.e 214878

Least Common Multiple of 354,607 with GCF Formula

Least Common Multiple of 354,607 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 354,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,607) = 1

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

GCF(354,607) x common factors =1 x 1 = 1

LCM(354,607) = ( 354 × 607 ) / 1

LCM(354,607) = 214878 / 1

LCM(354,607) = 214878


Lets's calculate GCF of 83,5794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214878/1

Therefore the LCM of Fractions 354/83,607/5794 is 214878

Greatest Common Factor of 83,5794 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,5794 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 5794

List of positive integer factors of 5794 that divides 5794 without a remainder.

1,2,2897,5794

Greatest Common Factor

We found the factors 83,5794 . The biggest common factor number is the GCF number.
So the greatest common factor 83,5794 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 354/83, 607/5794

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 354/83, 607/5794?

Answer: LCM of Numerators as per given numbers 354/83, 607/5794 is

LCM of Numerators i.e. for 354,607 is 214878

GCF of denominators i.e. for 83,5794 is 1.

Thus, LCM of Fractions is 214878.Finally, LCM of Fractions for 354/83, 607/5794 is 214878.