Least Common Multiple of 400/60, 423/31, 989/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/60, 423/31, 989/17 quickly i.e. 167338800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/60, 423/31, 989/17 is 167338800.

LCM(400/60, 423/31, 989/17) = 167338800

LCM of 400/60, 423/31, 989/17

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 400/60,423/31,989/17

Given numbers are 400/60,423/31,989/17

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 400,423,989

Least Common Multiple of Numerators i.e. LCM of 400,423,989 is 167338800.

GCF of Denominators means GCF of 60,31,17 as per the given fractions.

GCF of 60,31,17 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,423,989

LCM of Fractions 400/60,423/31,989/17 is 167338800

Given numbers has no common factors except 1. So, there LCM is their product i.e 167338800

Least Common Multiple of 400,423,989 with GCF Formula

Least Common Multiple of 400,423,989 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 400,423,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,423,989) = 1

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

GCF(400,423,989) x common factors =1 x 1 = 1

LCM(400,423,989) = ( 400 × 423 × 989 ) / 1

LCM(400,423,989) = 167338800 / 1

LCM(400,423,989) = 167338800


Lets's calculate GCF of 60,31,17

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167338800/1

Therefore the LCM of Fractions 400/60,423/31,989/17 is 167338800

Greatest Common Factor of 60,31,17 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,31,17 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Greatest Common Factor

We found the factors 60,31,17 . The biggest common factor number is the GCF number.
So the greatest common factor 60,31,17 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 400/60, 423/31, 989/17

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 400/60, 423/31, 989/17?

Answer: LCM of Numerators as per given numbers 400/60, 423/31, 989/17 is

LCM of Numerators i.e. for 400,423,989 is 167338800

GCF of denominators i.e. for 60,31,17 is 1.

Thus, LCM of Fractions is 167338800.Finally, LCM of Fractions for 400/60, 423/31, 989/17 is 167338800.