Least Common Multiple of 264/41, 294/83, 530/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/41, 294/83, 530/370 quickly i.e. 3428040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/41, 294/83, 530/370 is 3428040.

LCM(264/41, 294/83, 530/370) = 3428040

LCM of 264/41, 294/83, 530/370

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 264/41,294/83,530/370

Given numbers are 264/41,294/83,530/370

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 264,294,530

Least Common Multiple of Numerators i.e. LCM of 264,294,530 is 3428040.

GCF of Denominators means GCF of 41,83,370 as per the given fractions.

GCF of 41,83,370 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,294,530

LCM of Fractions 264/41,294/83,530/370 is 3428040

2 264, 294, 530
3 132, 147, 265
44, 49, 265

∴ So the LCM of the given numbers is 2 x 3 x 44 x 49 x 265 = 3428040

Least Common Multiple of 264,294,530 with GCF Formula

Least Common Multiple of 264,294,530 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 264,294,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,294,530) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(264,294,530) x common factors =2 x 6 = 12

LCM(264,294,530) = ( 264 × 294 × 530 ) / 12

LCM(264,294,530) = 41136480 / 12

LCM(264,294,530) = 3428040


Lets's calculate GCF of 41,83,370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3428040/1

Therefore the LCM of Fractions 264/41,294/83,530/370 is 3428040

Greatest Common Factor of 41,83,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,83,370 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 41,83,370 . The biggest common factor number is the GCF number.
So the greatest common factor 41,83,370 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 264/41, 294/83, 530/370

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 264/41, 294/83, 530/370?

Answer: LCM of Numerators as per given numbers 264/41, 294/83, 530/370 is

LCM of Numerators i.e. for 264,294,530 is 3428040

GCF of denominators i.e. for 41,83,370 is 1.

Thus, LCM of Fractions is 3428040.Finally, LCM of Fractions for 264/41, 294/83, 530/370 is 3428040.