Least Common Multiple of 94/237, 67/315, 548/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/237, 67/315, 548/820 quickly i.e. 1725652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/237, 67/315, 548/820 is 1725652.

LCM(94/237, 67/315, 548/820) = 1725652

LCM of 94/237, 67/315, 548/820

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 94/237,67/315,548/820

Given numbers are 94/237,67/315,548/820

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 94,67,548

Least Common Multiple of Numerators i.e. LCM of 94,67,548 is 1725652.

GCF of Denominators means GCF of 237,315,820 as per the given fractions.

GCF of 237,315,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,67,548

LCM of Fractions 94/237,67/315,548/820 is 1725652

2 94, 67, 548
47, 67, 274

∴ So the LCM of the given numbers is 2 x 47 x 67 x 274 = 1725652

Least Common Multiple of 94,67,548 with GCF Formula

Least Common Multiple of 94,67,548 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 94,67,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,67,548) = 1

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

GCF(94,67,548) x common factors =1 x 2 = 2

LCM(94,67,548) = ( 94 × 67 × 548 ) / 2

LCM(94,67,548) = 3451304 / 2

LCM(94,67,548) = 1725652


Lets's calculate GCF of 237,315,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1725652/1

Therefore the LCM of Fractions 94/237,67/315,548/820 is 1725652

Greatest Common Factor of 237,315,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,315,820 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 237,315,820 . The biggest common factor number is the GCF number.
So the greatest common factor 237,315,820 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 94/237, 67/315, 548/820

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 94/237, 67/315, 548/820?

Answer: LCM of Numerators as per given numbers 94/237, 67/315, 548/820 is

LCM of Numerators i.e. for 94,67,548 is 1725652

GCF of denominators i.e. for 237,315,820 is 1.

Thus, LCM of Fractions is 1725652.Finally, LCM of Fractions for 94/237, 67/315, 548/820 is 1725652.