Least Common Multiple of 143/677, 604/932, 382/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 143/677, 604/932, 382/342 quickly i.e. 16497052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 143/677, 604/932, 382/342 is 16497052.

LCM(143/677, 604/932, 382/342) = 16497052

LCM of 143/677, 604/932, 382/342

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 143/677,604/932,382/342

Given numbers are 143/677,604/932,382/342

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 143,604,382

Least Common Multiple of Numerators i.e. LCM of 143,604,382 is 16497052.

GCF of Denominators means GCF of 677,932,342 as per the given fractions.

GCF of 677,932,342 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 143,604,382

LCM of Fractions 143/677,604/932,382/342 is 16497052

2 143, 604, 382
143, 302, 191

∴ So the LCM of the given numbers is 2 x 143 x 302 x 191 = 16497052

Least Common Multiple of 143,604,382 with GCF Formula

Least Common Multiple of 143,604,382 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 143,604,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,604,382) = 1

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

GCF(143,604,382) x common factors =1 x 2 = 2

LCM(143,604,382) = ( 143 × 604 × 382 ) / 2

LCM(143,604,382) = 32994104 / 2

LCM(143,604,382) = 16497052


Lets's calculate GCF of 677,932,342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16497052/1

Therefore the LCM of Fractions 143/677,604/932,382/342 is 16497052

Greatest Common Factor of 677,932,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,932,342 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

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

Greatest Common Factor

We found the factors 677,932,342 . The biggest common factor number is the GCF number.
So the greatest common factor 677,932,342 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 143/677, 604/932, 382/342

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 143/677, 604/932, 382/342?

Answer: LCM of Numerators as per given numbers 143/677, 604/932, 382/342 is

LCM of Numerators i.e. for 143,604,382 is 16497052

GCF of denominators i.e. for 677,932,342 is 1.

Thus, LCM of Fractions is 16497052.Finally, LCM of Fractions for 143/677, 604/932, 382/342 is 16497052.