Least Common Multiple of 89/841, 979/361, 998/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/841, 979/361, 998/990 quickly i.e. 977042 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/841, 979/361, 998/990 is 977042.

LCM(89/841, 979/361, 998/990) = 977042

LCM of 89/841, 979/361, 998/990

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 89/841,979/361,998/990

Given numbers are 89/841,979/361,998/990

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 89,979,998

Least Common Multiple of Numerators i.e. LCM of 89,979,998 is 977042.

GCF of Denominators means GCF of 841,361,990 as per the given fractions.

GCF of 841,361,990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,979,998

LCM of Fractions 89/841,979/361,998/990 is 977042

89 89, 979, 998
1, 11, 998

∴ So the LCM of the given numbers is 89 x 1 x 11 x 998 = 977042

Least Common Multiple of 89,979,998 with GCF Formula

Least Common Multiple of 89,979,998 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 89,979,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,979,998) = 1

common factors(in case of two or more numbers have common factors) = 89

GCF(89,979,998) x common factors =1 x 89 = 89

LCM(89,979,998) = ( 89 × 979 × 998 ) / 89

LCM(89,979,998) = 86956738 / 89

LCM(89,979,998) = 977042


Lets's calculate GCF of 841,361,990

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 977042/1

Therefore the LCM of Fractions 89/841,979/361,998/990 is 977042

Greatest Common Factor of 841,361,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 841,361,990 By Matching Biggest Common Factor Method

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 841,361,990 . The biggest common factor number is the GCF number.
So the greatest common factor 841,361,990 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 89/841, 979/361, 998/990

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 89/841, 979/361, 998/990?

Answer: LCM of Numerators as per given numbers 89/841, 979/361, 998/990 is

LCM of Numerators i.e. for 89,979,998 is 977042

GCF of denominators i.e. for 841,361,990 is 1.

Thus, LCM of Fractions is 977042.Finally, LCM of Fractions for 89/841, 979/361, 998/990 is 977042.