Least Common Multiple of 342/859, 803/331, 476/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/859, 803/331, 476/352 quickly i.e. 65360988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/859, 803/331, 476/352 is 65360988.

LCM(342/859, 803/331, 476/352) = 65360988

LCM of 342/859, 803/331, 476/352

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 342/859,803/331,476/352

Given numbers are 342/859,803/331,476/352

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 342,803,476

Least Common Multiple of Numerators i.e. LCM of 342,803,476 is 65360988.

GCF of Denominators means GCF of 859,331,352 as per the given fractions.

GCF of 859,331,352 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,803,476

LCM of Fractions 342/859,803/331,476/352 is 65360988

2 342, 803, 476
171, 803, 238

∴ So the LCM of the given numbers is 2 x 171 x 803 x 238 = 65360988

Least Common Multiple of 342,803,476 with GCF Formula

Least Common Multiple of 342,803,476 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 342,803,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,803,476) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(342,803,476) x common factors =1 x 2 = 2

LCM(342,803,476) = ( 342 × 803 × 476 ) / 2

LCM(342,803,476) = 130721976 / 2

LCM(342,803,476) = 65360988


Lets's calculate GCF of 859,331,352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65360988/1

Therefore the LCM of Fractions 342/859,803/331,476/352 is 65360988

Greatest Common Factor of 859,331,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 859,331,352 By Matching Biggest Common Factor Method

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 859,331,352 . The biggest common factor number is the GCF number.
So the greatest common factor 859,331,352 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 342/859, 803/331, 476/352

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 342/859, 803/331, 476/352?

Answer: LCM of Numerators as per given numbers 342/859, 803/331, 476/352 is

LCM of Numerators i.e. for 342,803,476 is 65360988

GCF of denominators i.e. for 859,331,352 is 1.

Thus, LCM of Fractions is 65360988.Finally, LCM of Fractions for 342/859, 803/331, 476/352 is 65360988.