Least Common Multiple of 1567/679, 9001/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1567/679, 9001/112 quickly i.e. 14104567/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1567/679, 9001/112 is 14104567/7.

LCM(1567/679, 9001/112) = 14104567/7

LCM of 1567/679, 9001/112

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 1567/679,9001/112

Given numbers are 1567/679,9001/112

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 1567,9001

Least Common Multiple of Numerators i.e. LCM of 1567,9001 is 14104567.

GCF of Denominators means GCF of 679,112 as per the given fractions.

GCF of 679,112 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1567,9001

LCM of Fractions 1567/679,9001/112 is 14104567/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 14104567

Least Common Multiple of 1567,9001 with GCF Formula

Least Common Multiple of 1567,9001 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 1567,9001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1567,9001) = 1

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

GCF(1567,9001) x common factors =1 x 1 = 1

LCM(1567,9001) = ( 1567 × 9001 ) / 1

LCM(1567,9001) = 14104567 / 1

LCM(1567,9001) = 14104567


Lets's calculate GCF of 679,112

7 679, 112
97, 16

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14104567/7

Therefore the LCM of Fractions 1567/679,9001/112 is 14104567/7

Greatest Common Factor of 679,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,112 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 679,112 . The biggest common factor number is the GCF number.
So the greatest common factor 679,112 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 1567/679, 9001/112

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 1567/679, 9001/112?

Answer: LCM of Numerators as per given numbers 1567/679, 9001/112 is

LCM of Numerators i.e. for 1567,9001 is 14104567

GCF of denominators i.e. for 679,112 is 7.

Thus, LCM of Fractions is 14104567/7.Finally, LCM of Fractions for 1567/679, 9001/112 is 14104567/7.