Least Common Multiple of 961/31, 698/40, 992/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 961/31, 698/40, 992/174 quickly i.e. 10732448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 961/31, 698/40, 992/174 is 10732448.

LCM(961/31, 698/40, 992/174) = 10732448

LCM of 961/31, 698/40, 992/174

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 961/31,698/40,992/174

Given numbers are 961/31,698/40,992/174

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 961,698,992

Least Common Multiple of Numerators i.e. LCM of 961,698,992 is 10732448.

GCF of Denominators means GCF of 31,40,174 as per the given fractions.

GCF of 31,40,174 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 961,698,992

LCM of Fractions 961/31,698/40,992/174 is 10732448

2 961, 698, 992
31 961, 349, 496
31, 349, 16

∴ So the LCM of the given numbers is 2 x 31 x 31 x 349 x 16 = 10732448

Least Common Multiple of 961,698,992 with GCF Formula

Least Common Multiple of 961,698,992 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 961,698,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,698,992) = 1

common factors(in case of two or more numbers have common factors) = 62

GCF(961,698,992) x common factors =1 x 62 = 62

LCM(961,698,992) = ( 961 × 698 × 992 ) / 62

LCM(961,698,992) = 665411776 / 62

LCM(961,698,992) = 10732448


Lets's calculate GCF of 31,40,174

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10732448/1

Therefore the LCM of Fractions 961/31,698/40,992/174 is 10732448

Greatest Common Factor of 31,40,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,40,174 By Matching Biggest Common Factor Method

Factors of 31

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

1,31

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 31,40,174 . The biggest common factor number is the GCF number.
So the greatest common factor 31,40,174 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 961/31, 698/40, 992/174

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 961/31, 698/40, 992/174?

Answer: LCM of Numerators as per given numbers 961/31, 698/40, 992/174 is

LCM of Numerators i.e. for 961,698,992 is 10732448

GCF of denominators i.e. for 31,40,174 is 1.

Thus, LCM of Fractions is 10732448.Finally, LCM of Fractions for 961/31, 698/40, 992/174 is 10732448.