Least Common Multiple of 26/97, 75/67, 614/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/97, 75/67, 614/368 quickly i.e. 598650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/97, 75/67, 614/368 is 598650.

LCM(26/97, 75/67, 614/368) = 598650

LCM of 26/97, 75/67, 614/368

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 26/97,75/67,614/368

Given numbers are 26/97,75/67,614/368

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 26,75,614

Least Common Multiple of Numerators i.e. LCM of 26,75,614 is 598650.

GCF of Denominators means GCF of 97,67,368 as per the given fractions.

GCF of 97,67,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,75,614

LCM of Fractions 26/97,75/67,614/368 is 598650

2 26, 75, 614
13, 75, 307

∴ So the LCM of the given numbers is 2 x 13 x 75 x 307 = 598650

Least Common Multiple of 26,75,614 with GCF Formula

Least Common Multiple of 26,75,614 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 26,75,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,75,614) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(26,75,614) x common factors =1 x 2 = 2

LCM(26,75,614) = ( 26 × 75 × 614 ) / 2

LCM(26,75,614) = 1197300 / 2

LCM(26,75,614) = 598650


Lets's calculate GCF of 97,67,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 598650/1

Therefore the LCM of Fractions 26/97,75/67,614/368 is 598650

Greatest Common Factor of 97,67,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,67,368 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 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 97,67,368 . The biggest common factor number is the GCF number.
So the greatest common factor 97,67,368 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 26/97, 75/67, 614/368

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 26/97, 75/67, 614/368?

Answer: LCM of Numerators as per given numbers 26/97, 75/67, 614/368 is

LCM of Numerators i.e. for 26,75,614 is 598650

GCF of denominators i.e. for 97,67,368 is 1.

Thus, LCM of Fractions is 598650.Finally, LCM of Fractions for 26/97, 75/67, 614/368 is 598650.