Least Common Multiple of 10/342, 340/116, 976/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/342, 340/116, 976/133 quickly i.e. 82960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/342, 340/116, 976/133 is 82960.

LCM(10/342, 340/116, 976/133) = 82960

LCM of 10/342, 340/116, 976/133

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 10/342,340/116,976/133

Given numbers are 10/342,340/116,976/133

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 10,340,976

Least Common Multiple of Numerators i.e. LCM of 10,340,976 is 82960.

GCF of Denominators means GCF of 342,116,133 as per the given fractions.

GCF of 342,116,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,340,976

LCM of Fractions 10/342,340/116,976/133 is 82960

2 10, 340, 976
2 5, 170, 488
5 5, 85, 244
1, 17, 244

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 17 x 244 = 82960

Least Common Multiple of 10,340,976 with GCF Formula

Least Common Multiple of 10,340,976 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 10,340,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,340,976) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(10,340,976) x common factors =2 x 20 = 40

LCM(10,340,976) = ( 10 × 340 × 976 ) / 40

LCM(10,340,976) = 3318400 / 40

LCM(10,340,976) = 82960


Lets's calculate GCF of 342,116,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82960/1

Therefore the LCM of Fractions 10/342,340/116,976/133 is 82960

Greatest Common Factor of 342,116,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,116,133 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 342,116,133 . The biggest common factor number is the GCF number.
So the greatest common factor 342,116,133 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 10/342, 340/116, 976/133

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 10/342, 340/116, 976/133?

Answer: LCM of Numerators as per given numbers 10/342, 340/116, 976/133 is

LCM of Numerators i.e. for 10,340,976 is 82960

GCF of denominators i.e. for 342,116,133 is 1.

Thus, LCM of Fractions is 82960.Finally, LCM of Fractions for 10/342, 340/116, 976/133 is 82960.