Least Common Multiple of 89/968, 361/553, 174/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/968, 361/553, 174/279 quickly i.e. 5590446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/968, 361/553, 174/279 is 5590446.

LCM(89/968, 361/553, 174/279) = 5590446

LCM of 89/968, 361/553, 174/279

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 89/968,361/553,174/279

Given numbers are 89/968,361/553,174/279

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 89,361,174

Least Common Multiple of Numerators i.e. LCM of 89,361,174 is 5590446.

GCF of Denominators means GCF of 968,553,279 as per the given fractions.

GCF of 968,553,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,361,174

LCM of Fractions 89/968,361/553,174/279 is 5590446

Given numbers has no common factors except 1. So, there LCM is their product i.e 5590446

Least Common Multiple of 89,361,174 with GCF Formula

Least Common Multiple of 89,361,174 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 89,361,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,361,174) = 1

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

GCF(89,361,174) x common factors =1 x 1 = 1

LCM(89,361,174) = ( 89 × 361 × 174 ) / 1

LCM(89,361,174) = 5590446 / 1

LCM(89,361,174) = 5590446


Lets's calculate GCF of 968,553,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5590446/1

Therefore the LCM of Fractions 89/968,361/553,174/279 is 5590446

Greatest Common Factor of 968,553,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,553,279 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 968,553,279 . The biggest common factor number is the GCF number.
So the greatest common factor 968,553,279 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 89/968, 361/553, 174/279

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 89/968, 361/553, 174/279?

Answer: LCM of Numerators as per given numbers 89/968, 361/553, 174/279 is

LCM of Numerators i.e. for 89,361,174 is 5590446

GCF of denominators i.e. for 968,553,279 is 1.

Thus, LCM of Fractions is 5590446.Finally, LCM of Fractions for 89/968, 361/553, 174/279 is 5590446.