Least Common Multiple of 40/472, 47/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/472, 47/148 quickly i.e. 470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/472, 47/148 is 470.

LCM(40/472, 47/148) = 470

LCM of 40/472, 47/148

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 40/472,47/148

Given numbers are 40/472,47/148

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 40,47

Least Common Multiple of Numerators i.e. LCM of 40,47 is 1880.

GCF of Denominators means GCF of 472,148 as per the given fractions.

GCF of 472,148 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,47

LCM of Fractions 40/472,47/148 is 470

Given numbers has no common factors except 1. So, there LCM is their product i.e 1880

Least Common Multiple of 40,47 with GCF Formula

Least Common Multiple of 40,47 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 40,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,47) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(40,47) x common factors =1 x 1 = 1

LCM(40,47) = ( 40 × 47 ) / 1

LCM(40,47) = 1880 / 1

LCM(40,47) = 1880


Lets's calculate GCF of 472,148

2 472, 148
2 236, 74
118, 37

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1880/4

Therefore the LCM of Fractions 40/472,47/148 is 470

Greatest Common Factor of 472,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,148 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 472,148 . The biggest common factor number is the GCF number.
So the greatest common factor 472,148 is 4.


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 40/472, 47/148

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 40/472, 47/148?

Answer: LCM of Numerators as per given numbers 40/472, 47/148 is

LCM of Numerators i.e. for 40,47 is 1880

GCF of denominators i.e. for 472,148 is 4.

Thus, LCM of Fractions is 470.Finally, LCM of Fractions for 40/472, 47/148 is 470.