Least Common Multiple of 147/350, 686/815, 432/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 147/350, 686/815, 432/514 quickly i.e. 148176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/350, 686/815, 432/514 is 148176.

LCM(147/350, 686/815, 432/514) = 148176

LCM of 147/350, 686/815, 432/514

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 147/350,686/815,432/514

Given numbers are 147/350,686/815,432/514

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 147,686,432

Least Common Multiple of Numerators i.e. LCM of 147,686,432 is 148176.

GCF of Denominators means GCF of 350,815,514 as per the given fractions.

GCF of 350,815,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,686,432

LCM of Fractions 147/350,686/815,432/514 is 148176

2 147, 686, 432
3 147, 343, 216
7 49, 343, 72
7 7, 49, 72
1, 7, 72

∴ So the LCM of the given numbers is 2 x 3 x 7 x 7 x 1 x 7 x 72 = 148176

Least Common Multiple of 147,686,432 with GCF Formula

Least Common Multiple of 147,686,432 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 147,686,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,686,432) = 1

common factors(in case of two or more numbers have common factors) = 294

GCF(147,686,432) x common factors =1 x 294 = 294

LCM(147,686,432) = ( 147 × 686 × 432 ) / 294

LCM(147,686,432) = 43563744 / 294

LCM(147,686,432) = 148176


Lets's calculate GCF of 350,815,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148176/1

Therefore the LCM of Fractions 147/350,686/815,432/514 is 148176

Greatest Common Factor of 350,815,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,815,514 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 350,815,514 . The biggest common factor number is the GCF number.
So the greatest common factor 350,815,514 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 147/350, 686/815, 432/514

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 147/350, 686/815, 432/514?

Answer: LCM of Numerators as per given numbers 147/350, 686/815, 432/514 is

LCM of Numerators i.e. for 147,686,432 is 148176

GCF of denominators i.e. for 350,815,514 is 1.

Thus, LCM of Fractions is 148176.Finally, LCM of Fractions for 147/350, 686/815, 432/514 is 148176.