Least Common Multiple of 7/901, 97/646, 23/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/901, 97/646, 23/200 quickly i.e. 15617 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/901, 97/646, 23/200 is 15617.

LCM(7/901, 97/646, 23/200) = 15617

LCM of 7/901, 97/646, 23/200

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 7/901,97/646,23/200

Given numbers are 7/901,97/646,23/200

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 7,97,23

Least Common Multiple of Numerators i.e. LCM of 7,97,23 is 15617.

GCF of Denominators means GCF of 901,646,200 as per the given fractions.

GCF of 901,646,200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,97,23

LCM of Fractions 7/901,97/646,23/200 is 15617

Given numbers has no common factors except 1. So, there LCM is their product i.e 15617

Least Common Multiple of 7,97,23 with GCF Formula

Least Common Multiple of 7,97,23 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 7,97,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,97,23) = 1

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

GCF(7,97,23) x common factors =1 x 1 = 1

LCM(7,97,23) = ( 7 × 97 × 23 ) / 1

LCM(7,97,23) = 15617 / 1

LCM(7,97,23) = 15617


Lets's calculate GCF of 901,646,200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15617/1

Therefore the LCM of Fractions 7/901,97/646,23/200 is 15617

Greatest Common Factor of 901,646,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,646,200 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 901,646,200 . The biggest common factor number is the GCF number.
So the greatest common factor 901,646,200 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 7/901, 97/646, 23/200

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 7/901, 97/646, 23/200?

Answer: LCM of Numerators as per given numbers 7/901, 97/646, 23/200 is

LCM of Numerators i.e. for 7,97,23 is 15617

GCF of denominators i.e. for 901,646,200 is 1.

Thus, LCM of Fractions is 15617.Finally, LCM of Fractions for 7/901, 97/646, 23/200 is 15617.