Least Common Multiple of 707/90, 378/81, 236/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 707/90, 378/81, 236/348 quickly i.e. 1501668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 707/90, 378/81, 236/348 is 1501668.

LCM(707/90, 378/81, 236/348) = 1501668

LCM of 707/90, 378/81, 236/348

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 707/90,378/81,236/348

Given numbers are 707/90,378/81,236/348

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 707,378,236

Least Common Multiple of Numerators i.e. LCM of 707,378,236 is 4505004.

GCF of Denominators means GCF of 90,81,348 as per the given fractions.

GCF of 90,81,348 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 707,378,236

LCM of Fractions 707/90,378/81,236/348 is 1501668

2 707, 378, 236
7 707, 189, 118
101, 27, 118

∴ So the LCM of the given numbers is 2 x 7 x 101 x 27 x 118 = 4505004

Least Common Multiple of 707,378,236 with GCF Formula

Least Common Multiple of 707,378,236 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 707,378,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,378,236) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(707,378,236) x common factors =1 x 14 = 14

LCM(707,378,236) = ( 707 × 378 × 236 ) / 14

LCM(707,378,236) = 63070056 / 14

LCM(707,378,236) = 4505004


Lets's calculate GCF of 90,81,348

3 90, 81, 348
30, 27, 116

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4505004/3

Therefore the LCM of Fractions 707/90,378/81,236/348 is 1501668

Greatest Common Factor of 90,81,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,81,348 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 90,81,348 . The biggest common factor number is the GCF number.
So the greatest common factor 90,81,348 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 707/90, 378/81, 236/348

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 707/90, 378/81, 236/348?

Answer: LCM of Numerators as per given numbers 707/90, 378/81, 236/348 is

LCM of Numerators i.e. for 707,378,236 is 4505004

GCF of denominators i.e. for 90,81,348 is 3.

Thus, LCM of Fractions is 1501668.Finally, LCM of Fractions for 707/90, 378/81, 236/348 is 1501668.