Least Common Multiple of 34/143, 340/576, 862/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/143, 340/576, 862/313 quickly i.e. 146540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/143, 340/576, 862/313 is 146540.

LCM(34/143, 340/576, 862/313) = 146540

LCM of 34/143, 340/576, 862/313

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 34/143,340/576,862/313

Given numbers are 34/143,340/576,862/313

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 34,340,862

Least Common Multiple of Numerators i.e. LCM of 34,340,862 is 146540.

GCF of Denominators means GCF of 143,576,313 as per the given fractions.

GCF of 143,576,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,340,862

LCM of Fractions 34/143,340/576,862/313 is 146540

2 34, 340, 862
17 17, 170, 431
1, 10, 431

∴ So the LCM of the given numbers is 2 x 17 x 1 x 10 x 431 = 146540

Least Common Multiple of 34,340,862 with GCF Formula

Least Common Multiple of 34,340,862 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 34,340,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,340,862) = 2

common factors(in case of two or more numbers have common factors) = 34

GCF(34,340,862) x common factors =2 x 34 = 68

LCM(34,340,862) = ( 34 × 340 × 862 ) / 68

LCM(34,340,862) = 9964720 / 68

LCM(34,340,862) = 146540


Lets's calculate GCF of 143,576,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146540/1

Therefore the LCM of Fractions 34/143,340/576,862/313 is 146540

Greatest Common Factor of 143,576,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,576,313 By Matching Biggest Common Factor Method

Factors of 143

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

1,11,13,143

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 143,576,313 . The biggest common factor number is the GCF number.
So the greatest common factor 143,576,313 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 34/143, 340/576, 862/313

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 34/143, 340/576, 862/313?

Answer: LCM of Numerators as per given numbers 34/143, 340/576, 862/313 is

LCM of Numerators i.e. for 34,340,862 is 146540

GCF of denominators i.e. for 143,576,313 is 1.

Thus, LCM of Fractions is 146540.Finally, LCM of Fractions for 34/143, 340/576, 862/313 is 146540.