Least Common Multiple of 47/151, 681/752, 315/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/151, 681/752, 315/147 quickly i.e. 3360735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/151, 681/752, 315/147 is 3360735.

LCM(47/151, 681/752, 315/147) = 3360735

LCM of 47/151, 681/752, 315/147

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 47/151,681/752,315/147

Given numbers are 47/151,681/752,315/147

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 47,681,315

Least Common Multiple of Numerators i.e. LCM of 47,681,315 is 3360735.

GCF of Denominators means GCF of 151,752,147 as per the given fractions.

GCF of 151,752,147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,681,315

LCM of Fractions 47/151,681/752,315/147 is 3360735

3 47, 681, 315
47, 227, 105

∴ So the LCM of the given numbers is 3 x 47 x 227 x 105 = 3360735

Least Common Multiple of 47,681,315 with GCF Formula

Least Common Multiple of 47,681,315 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 47,681,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,681,315) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(47,681,315) x common factors =1 x 3 = 3

LCM(47,681,315) = ( 47 × 681 × 315 ) / 3

LCM(47,681,315) = 10082205 / 3

LCM(47,681,315) = 3360735


Lets's calculate GCF of 151,752,147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3360735/1

Therefore the LCM of Fractions 47/151,681/752,315/147 is 3360735

Greatest Common Factor of 151,752,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,752,147 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

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 151,752,147 . The biggest common factor number is the GCF number.
So the greatest common factor 151,752,147 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 47/151, 681/752, 315/147

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 47/151, 681/752, 315/147?

Answer: LCM of Numerators as per given numbers 47/151, 681/752, 315/147 is

LCM of Numerators i.e. for 47,681,315 is 3360735

GCF of denominators i.e. for 151,752,147 is 1.

Thus, LCM of Fractions is 3360735.Finally, LCM of Fractions for 47/151, 681/752, 315/147 is 3360735.