Least Common Multiple of 67/369, 866/346, 470/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/369, 866/346, 470/541 quickly i.e. 13635170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/369, 866/346, 470/541 is 13635170.

LCM(67/369, 866/346, 470/541) = 13635170

LCM of 67/369, 866/346, 470/541

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 67/369,866/346,470/541

Given numbers are 67/369,866/346,470/541

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 67,866,470

Least Common Multiple of Numerators i.e. LCM of 67,866,470 is 13635170.

GCF of Denominators means GCF of 369,346,541 as per the given fractions.

GCF of 369,346,541 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,866,470

LCM of Fractions 67/369,866/346,470/541 is 13635170

2 67, 866, 470
67, 433, 235

∴ So the LCM of the given numbers is 2 x 67 x 433 x 235 = 13635170

Least Common Multiple of 67,866,470 with GCF Formula

Least Common Multiple of 67,866,470 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 67,866,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,866,470) = 1

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

GCF(67,866,470) x common factors =1 x 2 = 2

LCM(67,866,470) = ( 67 × 866 × 470 ) / 2

LCM(67,866,470) = 27270340 / 2

LCM(67,866,470) = 13635170


Lets's calculate GCF of 369,346,541

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13635170/1

Therefore the LCM of Fractions 67/369,866/346,470/541 is 13635170

Greatest Common Factor of 369,346,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,346,541 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors 369,346,541 . The biggest common factor number is the GCF number.
So the greatest common factor 369,346,541 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 67/369, 866/346, 470/541

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 67/369, 866/346, 470/541?

Answer: LCM of Numerators as per given numbers 67/369, 866/346, 470/541 is

LCM of Numerators i.e. for 67,866,470 is 13635170

GCF of denominators i.e. for 369,346,541 is 1.

Thus, LCM of Fractions is 13635170.Finally, LCM of Fractions for 67/369, 866/346, 470/541 is 13635170.