Least Common Multiple of 70/182, 338/143, 143/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/182, 338/143, 143/994 quickly i.e. 130130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/182, 338/143, 143/994 is 130130.

LCM(70/182, 338/143, 143/994) = 130130

LCM of 70/182, 338/143, 143/994

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 70/182,338/143,143/994

Given numbers are 70/182,338/143,143/994

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 70,338,143

Least Common Multiple of Numerators i.e. LCM of 70,338,143 is 130130.

GCF of Denominators means GCF of 182,143,994 as per the given fractions.

GCF of 182,143,994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,338,143

LCM of Fractions 70/182,338/143,143/994 is 130130

2 70, 338, 143
13 35, 169, 143
35, 13, 11

∴ So the LCM of the given numbers is 2 x 13 x 35 x 13 x 11 = 130130

Least Common Multiple of 70,338,143 with GCF Formula

Least Common Multiple of 70,338,143 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 70,338,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,338,143) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(70,338,143) x common factors =1 x 26 = 26

LCM(70,338,143) = ( 70 × 338 × 143 ) / 26

LCM(70,338,143) = 3383380 / 26

LCM(70,338,143) = 130130


Lets's calculate GCF of 182,143,994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130130/1

Therefore the LCM of Fractions 70/182,338/143,143/994 is 130130

Greatest Common Factor of 182,143,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,143,994 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 143

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

1,11,13,143

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 182,143,994 . The biggest common factor number is the GCF number.
So the greatest common factor 182,143,994 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 70/182, 338/143, 143/994

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 70/182, 338/143, 143/994?

Answer: LCM of Numerators as per given numbers 70/182, 338/143, 143/994 is

LCM of Numerators i.e. for 70,338,143 is 130130

GCF of denominators i.e. for 182,143,994 is 1.

Thus, LCM of Fractions is 130130.Finally, LCM of Fractions for 70/182, 338/143, 143/994 is 130130.