Least Common Multiple of 70/107, 78/216, 267/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/107, 78/216, 267/367 quickly i.e. 242970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/107, 78/216, 267/367 is 242970.

LCM(70/107, 78/216, 267/367) = 242970

LCM of 70/107, 78/216, 267/367

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 70/107,78/216,267/367

Given numbers are 70/107,78/216,267/367

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 70,78,267

Least Common Multiple of Numerators i.e. LCM of 70,78,267 is 242970.

GCF of Denominators means GCF of 107,216,367 as per the given fractions.

GCF of 107,216,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,78,267

LCM of Fractions 70/107,78/216,267/367 is 242970

2 70, 78, 267
3 35, 39, 267
35, 13, 89

∴ So the LCM of the given numbers is 2 x 3 x 35 x 13 x 89 = 242970

Least Common Multiple of 70,78,267 with GCF Formula

Least Common Multiple of 70,78,267 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 70,78,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,78,267) = 1

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

GCF(70,78,267) x common factors =1 x 6 = 6

LCM(70,78,267) = ( 70 × 78 × 267 ) / 6

LCM(70,78,267) = 1457820 / 6

LCM(70,78,267) = 242970


Lets's calculate GCF of 107,216,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242970/1

Therefore the LCM of Fractions 70/107,78/216,267/367 is 242970

Greatest Common Factor of 107,216,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,216,367 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 107,216,367 . The biggest common factor number is the GCF number.
So the greatest common factor 107,216,367 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 70/107, 78/216, 267/367

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 70/107, 78/216, 267/367?

Answer: LCM of Numerators as per given numbers 70/107, 78/216, 267/367 is

LCM of Numerators i.e. for 70,78,267 is 242970

GCF of denominators i.e. for 107,216,367 is 1.

Thus, LCM of Fractions is 242970.Finally, LCM of Fractions for 70/107, 78/216, 267/367 is 242970.