Least Common Multiple of 9953/308, 9039/1967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9953/308, 9039/1967 quickly i.e. 89965167/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9953/308, 9039/1967 is 89965167/7.

LCM(9953/308, 9039/1967) = 89965167/7

LCM of 9953/308, 9039/1967

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 9953/308,9039/1967

Given numbers are 9953/308,9039/1967

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 9953,9039

Least Common Multiple of Numerators i.e. LCM of 9953,9039 is 89965167.

GCF of Denominators means GCF of 308,1967 as per the given fractions.

GCF of 308,1967 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9953,9039

LCM of Fractions 9953/308,9039/1967 is 89965167/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 89965167

Least Common Multiple of 9953,9039 with GCF Formula

Least Common Multiple of 9953,9039 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 9953,9039 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9953,9039) = 1

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

GCF(9953,9039) x common factors =1 x 1 = 1

LCM(9953,9039) = ( 9953 × 9039 ) / 1

LCM(9953,9039) = 89965167 / 1

LCM(9953,9039) = 89965167


Lets's calculate GCF of 308,1967

7 308, 1967
44, 281

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89965167/7

Therefore the LCM of Fractions 9953/308,9039/1967 is 89965167/7

Greatest Common Factor of 308,1967 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,1967 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 1967

List of positive integer factors of 1967 that divides 1967 without a remainder.

1,7,281,1967

Greatest Common Factor

We found the factors 308,1967 . The biggest common factor number is the GCF number.
So the greatest common factor 308,1967 is 7.


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 9953/308, 9039/1967

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 9953/308, 9039/1967?

Answer: LCM of Numerators as per given numbers 9953/308, 9039/1967 is

LCM of Numerators i.e. for 9953,9039 is 89965167

GCF of denominators i.e. for 308,1967 is 7.

Thus, LCM of Fractions is 89965167/7.Finally, LCM of Fractions for 9953/308, 9039/1967 is 89965167/7.