Least Common Multiple of 47/970, 488/157, 986/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/970, 488/157, 986/481 quickly i.e. 11307448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/970, 488/157, 986/481 is 11307448.

LCM(47/970, 488/157, 986/481) = 11307448

LCM of 47/970, 488/157, 986/481

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 47/970,488/157,986/481

Given numbers are 47/970,488/157,986/481

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 47,488,986

Least Common Multiple of Numerators i.e. LCM of 47,488,986 is 11307448.

GCF of Denominators means GCF of 970,157,481 as per the given fractions.

GCF of 970,157,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,488,986

LCM of Fractions 47/970,488/157,986/481 is 11307448

2 47, 488, 986
47, 244, 493

∴ So the LCM of the given numbers is 2 x 47 x 244 x 493 = 11307448

Least Common Multiple of 47,488,986 with GCF Formula

Least Common Multiple of 47,488,986 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 47,488,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,488,986) = 1

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

GCF(47,488,986) x common factors =1 x 2 = 2

LCM(47,488,986) = ( 47 × 488 × 986 ) / 2

LCM(47,488,986) = 22614896 / 2

LCM(47,488,986) = 11307448


Lets's calculate GCF of 970,157,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11307448/1

Therefore the LCM of Fractions 47/970,488/157,986/481 is 11307448

Greatest Common Factor of 970,157,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,157,481 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 970,157,481 . The biggest common factor number is the GCF number.
So the greatest common factor 970,157,481 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 47/970, 488/157, 986/481

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 47/970, 488/157, 986/481?

Answer: LCM of Numerators as per given numbers 47/970, 488/157, 986/481 is

LCM of Numerators i.e. for 47,488,986 is 11307448

GCF of denominators i.e. for 970,157,481 is 1.

Thus, LCM of Fractions is 11307448.Finally, LCM of Fractions for 47/970, 488/157, 986/481 is 11307448.