Least Common Multiple of 67/97, 757/14, 461/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/97, 757/14, 461/100 quickly i.e. 23381459 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/97, 757/14, 461/100 is 23381459.

LCM(67/97, 757/14, 461/100) = 23381459

LCM of 67/97, 757/14, 461/100

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 67/97,757/14,461/100

Given numbers are 67/97,757/14,461/100

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 67,757,461

Least Common Multiple of Numerators i.e. LCM of 67,757,461 is 23381459.

GCF of Denominators means GCF of 97,14,100 as per the given fractions.

GCF of 97,14,100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,757,461

LCM of Fractions 67/97,757/14,461/100 is 23381459

Given numbers has no common factors except 1. So, there LCM is their product i.e 23381459

Least Common Multiple of 67,757,461 with GCF Formula

Least Common Multiple of 67,757,461 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 67,757,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,757,461) = 1

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

GCF(67,757,461) x common factors =1 x 1 = 1

LCM(67,757,461) = ( 67 × 757 × 461 ) / 1

LCM(67,757,461) = 23381459 / 1

LCM(67,757,461) = 23381459


Lets's calculate GCF of 97,14,100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23381459/1

Therefore the LCM of Fractions 67/97,757/14,461/100 is 23381459

Greatest Common Factor of 97,14,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,14,100 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 97,14,100 . The biggest common factor number is the GCF number.
So the greatest common factor 97,14,100 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 67/97, 757/14, 461/100

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 67/97, 757/14, 461/100?

Answer: LCM of Numerators as per given numbers 67/97, 757/14, 461/100 is

LCM of Numerators i.e. for 67,757,461 is 23381459

GCF of denominators i.e. for 97,14,100 is 1.

Thus, LCM of Fractions is 23381459.Finally, LCM of Fractions for 67/97, 757/14, 461/100 is 23381459.