Least Common Multiple of 414/95, 493/98, 236/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/95, 493/98, 236/747 quickly i.e. 24084036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/95, 493/98, 236/747 is 24084036.

LCM(414/95, 493/98, 236/747) = 24084036

LCM of 414/95, 493/98, 236/747

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 414/95,493/98,236/747

Given numbers are 414/95,493/98,236/747

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 414,493,236

Least Common Multiple of Numerators i.e. LCM of 414,493,236 is 24084036.

GCF of Denominators means GCF of 95,98,747 as per the given fractions.

GCF of 95,98,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,493,236

LCM of Fractions 414/95,493/98,236/747 is 24084036

2 414, 493, 236
207, 493, 118

∴ So the LCM of the given numbers is 2 x 207 x 493 x 118 = 24084036

Least Common Multiple of 414,493,236 with GCF Formula

Least Common Multiple of 414,493,236 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 414,493,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,493,236) = 1

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

GCF(414,493,236) x common factors =1 x 2 = 2

LCM(414,493,236) = ( 414 × 493 × 236 ) / 2

LCM(414,493,236) = 48168072 / 2

LCM(414,493,236) = 24084036


Lets's calculate GCF of 95,98,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24084036/1

Therefore the LCM of Fractions 414/95,493/98,236/747 is 24084036

Greatest Common Factor of 95,98,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,98,747 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 95,98,747 . The biggest common factor number is the GCF number.
So the greatest common factor 95,98,747 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 414/95, 493/98, 236/747

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 414/95, 493/98, 236/747?

Answer: LCM of Numerators as per given numbers 414/95, 493/98, 236/747 is

LCM of Numerators i.e. for 414,493,236 is 24084036

GCF of denominators i.e. for 95,98,747 is 1.

Thus, LCM of Fractions is 24084036.Finally, LCM of Fractions for 414/95, 493/98, 236/747 is 24084036.