Least Common Multiple of 15/340, 5662/1783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 15/340, 5662/1783 quickly i.e. 84930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/340, 5662/1783 is 84930.

LCM(15/340, 5662/1783) = 84930

LCM of 15/340, 5662/1783

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 15/340,5662/1783

Given numbers are 15/340,5662/1783

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 15,5662

Least Common Multiple of Numerators i.e. LCM of 15,5662 is 84930.

GCF of Denominators means GCF of 340,1783 as per the given fractions.

GCF of 340,1783 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,5662

LCM of Fractions 15/340,5662/1783 is 84930

Given numbers has no common factors except 1. So, there LCM is their product i.e 84930

Least Common Multiple of 15,5662 with GCF Formula

Least Common Multiple of 15,5662 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 15,5662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,5662) = 1

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

GCF(15,5662) x common factors =1 x 1 = 1

LCM(15,5662) = ( 15 × 5662 ) / 1

LCM(15,5662) = 84930 / 1

LCM(15,5662) = 84930


Lets's calculate GCF of 340,1783

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84930/1

Therefore the LCM of Fractions 15/340,5662/1783 is 84930

Greatest Common Factor of 340,1783 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,1783 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 1783

List of positive integer factors of 1783 that divides 1783 without a remainder.

1,1783

Greatest Common Factor

We found the factors 340,1783 . The biggest common factor number is the GCF number.
So the greatest common factor 340,1783 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 15/340, 5662/1783

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 15/340, 5662/1783?

Answer: LCM of Numerators as per given numbers 15/340, 5662/1783 is

LCM of Numerators i.e. for 15,5662 is 84930

GCF of denominators i.e. for 340,1783 is 1.

Thus, LCM of Fractions is 84930.Finally, LCM of Fractions for 15/340, 5662/1783 is 84930.