Least Common Multiple of 690/47, 120/36, 112/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 690/47, 120/36, 112/987 quickly i.e. 38640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/47, 120/36, 112/987 is 38640.

LCM(690/47, 120/36, 112/987) = 38640

LCM of 690/47, 120/36, 112/987

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 690/47,120/36,112/987

Given numbers are 690/47,120/36,112/987

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 690,120,112

Least Common Multiple of Numerators i.e. LCM of 690,120,112 is 38640.

GCF of Denominators means GCF of 47,36,987 as per the given fractions.

GCF of 47,36,987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,120,112

LCM of Fractions 690/47,120/36,112/987 is 38640

2 690, 120, 112
2 345, 60, 56
2 345, 30, 28
3 345, 15, 14
5 115, 5, 14
23, 1, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 23 x 1 x 14 = 38640

Least Common Multiple of 690,120,112 with GCF Formula

Least Common Multiple of 690,120,112 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 690,120,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,120,112) = 2

common factors(in case of two or more numbers have common factors) = 120

GCF(690,120,112) x common factors =2 x 120 = 240

LCM(690,120,112) = ( 690 × 120 × 112 ) / 240

LCM(690,120,112) = 9273600 / 240

LCM(690,120,112) = 38640


Lets's calculate GCF of 47,36,987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38640/1

Therefore the LCM of Fractions 690/47,120/36,112/987 is 38640

Greatest Common Factor of 47,36,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,36,987 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 47,36,987 . The biggest common factor number is the GCF number.
So the greatest common factor 47,36,987 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 690/47, 120/36, 112/987

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 690/47, 120/36, 112/987?

Answer: LCM of Numerators as per given numbers 690/47, 120/36, 112/987 is

LCM of Numerators i.e. for 690,120,112 is 38640

GCF of denominators i.e. for 47,36,987 is 1.

Thus, LCM of Fractions is 38640.Finally, LCM of Fractions for 690/47, 120/36, 112/987 is 38640.