Least Common Multiple of 300/86, 435/49, 716/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/86, 435/49, 716/147 quickly i.e. 1557300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/86, 435/49, 716/147 is 1557300.

LCM(300/86, 435/49, 716/147) = 1557300

LCM of 300/86, 435/49, 716/147

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 300/86,435/49,716/147

Given numbers are 300/86,435/49,716/147

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 300,435,716

Least Common Multiple of Numerators i.e. LCM of 300,435,716 is 1557300.

GCF of Denominators means GCF of 86,49,147 as per the given fractions.

GCF of 86,49,147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,435,716

LCM of Fractions 300/86,435/49,716/147 is 1557300

2 300, 435, 716
2 150, 435, 358
3 75, 435, 179
5 25, 145, 179
5, 29, 179

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 29 x 179 = 1557300

Least Common Multiple of 300,435,716 with GCF Formula

Least Common Multiple of 300,435,716 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 300,435,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,435,716) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(300,435,716) x common factors =1 x 60 = 60

LCM(300,435,716) = ( 300 × 435 × 716 ) / 60

LCM(300,435,716) = 93438000 / 60

LCM(300,435,716) = 1557300


Lets's calculate GCF of 86,49,147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1557300/1

Therefore the LCM of Fractions 300/86,435/49,716/147 is 1557300

Greatest Common Factor of 86,49,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,49,147 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 86,49,147 . The biggest common factor number is the GCF number.
So the greatest common factor 86,49,147 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 300/86, 435/49, 716/147

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 300/86, 435/49, 716/147?

Answer: LCM of Numerators as per given numbers 300/86, 435/49, 716/147 is

LCM of Numerators i.e. for 300,435,716 is 1557300

GCF of denominators i.e. for 86,49,147 is 1.

Thus, LCM of Fractions is 1557300.Finally, LCM of Fractions for 300/86, 435/49, 716/147 is 1557300.