Least Common Multiple of 998/312, 9437/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 998/312, 9437/187 quickly i.e. 9418126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/312, 9437/187 is 9418126.

LCM(998/312, 9437/187) = 9418126

LCM of 998/312, 9437/187

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 998/312,9437/187

Given numbers are 998/312,9437/187

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 998,9437

Least Common Multiple of Numerators i.e. LCM of 998,9437 is 9418126.

GCF of Denominators means GCF of 312,187 as per the given fractions.

GCF of 312,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,9437

LCM of Fractions 998/312,9437/187 is 9418126

Given numbers has no common factors except 1. So, there LCM is their product i.e 9418126

Least Common Multiple of 998,9437 with GCF Formula

Least Common Multiple of 998,9437 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 998,9437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,9437) = 1

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

GCF(998,9437) x common factors =1 x 1 = 1

LCM(998,9437) = ( 998 × 9437 ) / 1

LCM(998,9437) = 9418126 / 1

LCM(998,9437) = 9418126


Lets's calculate GCF of 312,187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9418126/1

Therefore the LCM of Fractions 998/312,9437/187 is 9418126

Greatest Common Factor of 312,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,187 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 312,187 . The biggest common factor number is the GCF number.
So the greatest common factor 312,187 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 998/312, 9437/187

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 998/312, 9437/187?

Answer: LCM of Numerators as per given numbers 998/312, 9437/187 is

LCM of Numerators i.e. for 998,9437 is 9418126

GCF of denominators i.e. for 312,187 is 1.

Thus, LCM of Fractions is 9418126.Finally, LCM of Fractions for 998/312, 9437/187 is 9418126.