Least Common Multiple of 67/756, 44/419, 368/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/756, 44/419, 368/155 quickly i.e. 271216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/756, 44/419, 368/155 is 271216.

LCM(67/756, 44/419, 368/155) = 271216

LCM of 67/756, 44/419, 368/155

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 67/756,44/419,368/155

Given numbers are 67/756,44/419,368/155

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 67,44,368

Least Common Multiple of Numerators i.e. LCM of 67,44,368 is 271216.

GCF of Denominators means GCF of 756,419,155 as per the given fractions.

GCF of 756,419,155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,44,368

LCM of Fractions 67/756,44/419,368/155 is 271216

2 67, 44, 368
2 67, 22, 184
67, 11, 92

∴ So the LCM of the given numbers is 2 x 2 x 67 x 11 x 92 = 271216

Least Common Multiple of 67,44,368 with GCF Formula

Least Common Multiple of 67,44,368 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 67,44,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,44,368) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(67,44,368) x common factors =1 x 4 = 4

LCM(67,44,368) = ( 67 × 44 × 368 ) / 4

LCM(67,44,368) = 1084864 / 4

LCM(67,44,368) = 271216


Lets's calculate GCF of 756,419,155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271216/1

Therefore the LCM of Fractions 67/756,44/419,368/155 is 271216

Greatest Common Factor of 756,419,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,419,155 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 756,419,155 . The biggest common factor number is the GCF number.
So the greatest common factor 756,419,155 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 67/756, 44/419, 368/155

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 67/756, 44/419, 368/155?

Answer: LCM of Numerators as per given numbers 67/756, 44/419, 368/155 is

LCM of Numerators i.e. for 67,44,368 is 271216

GCF of denominators i.e. for 756,419,155 is 1.

Thus, LCM of Fractions is 271216.Finally, LCM of Fractions for 67/756, 44/419, 368/155 is 271216.