Least Common Multiple of 998/265, 117/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 998/265, 117/125 quickly i.e. 116766/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/265, 117/125 is 116766/5.

LCM(998/265, 117/125) = 116766/5

LCM of 998/265, 117/125

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 998/265,117/125

Given numbers are 998/265,117/125

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 998,117

Least Common Multiple of Numerators i.e. LCM of 998,117 is 116766.

GCF of Denominators means GCF of 265,125 as per the given fractions.

GCF of 265,125 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,117

LCM of Fractions 998/265,117/125 is 116766/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 116766

Least Common Multiple of 998,117 with GCF Formula

Least Common Multiple of 998,117 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 998,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,117) = 1

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

GCF(998,117) x common factors =1 x 1 = 1

LCM(998,117) = ( 998 × 117 ) / 1

LCM(998,117) = 116766 / 1

LCM(998,117) = 116766


Lets's calculate GCF of 265,125

5 265, 125
53, 25

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116766/5

Therefore the LCM of Fractions 998/265,117/125 is 116766/5

Greatest Common Factor of 265,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,125 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 265,125 . The biggest common factor number is the GCF number.
So the greatest common factor 265,125 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 998/265, 117/125

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 998/265, 117/125?

Answer: LCM of Numerators as per given numbers 998/265, 117/125 is

LCM of Numerators i.e. for 998,117 is 116766

GCF of denominators i.e. for 265,125 is 5.

Thus, LCM of Fractions is 116766/5.Finally, LCM of Fractions for 998/265, 117/125 is 116766/5.