Least Common Multiple of 783/414, 258/357, 277/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 783/414, 258/357, 277/216 quickly i.e. 6217542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 783/414, 258/357, 277/216 is 6217542.

LCM(783/414, 258/357, 277/216) = 6217542

LCM of 783/414, 258/357, 277/216

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 783/414,258/357,277/216

Given numbers are 783/414,258/357,277/216

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 783,258,277

Least Common Multiple of Numerators i.e. LCM of 783,258,277 is 18652626.

GCF of Denominators means GCF of 414,357,216 as per the given fractions.

GCF of 414,357,216 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 783,258,277

LCM of Fractions 783/414,258/357,277/216 is 6217542

3 783, 258, 277
261, 86, 277

∴ So the LCM of the given numbers is 3 x 261 x 86 x 277 = 18652626

Least Common Multiple of 783,258,277 with GCF Formula

Least Common Multiple of 783,258,277 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 783,258,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,258,277) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(783,258,277) x common factors =1 x 3 = 3

LCM(783,258,277) = ( 783 × 258 × 277 ) / 3

LCM(783,258,277) = 55957878 / 3

LCM(783,258,277) = 18652626


Lets's calculate GCF of 414,357,216

3 414, 357, 216
138, 119, 72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18652626/3

Therefore the LCM of Fractions 783/414,258/357,277/216 is 6217542

Greatest Common Factor of 414,357,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,357,216 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

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

Greatest Common Factor

We found the factors 414,357,216 . The biggest common factor number is the GCF number.
So the greatest common factor 414,357,216 is 3.


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 783/414, 258/357, 277/216

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 783/414, 258/357, 277/216?

Answer: LCM of Numerators as per given numbers 783/414, 258/357, 277/216 is

LCM of Numerators i.e. for 783,258,277 is 18652626

GCF of denominators i.e. for 414,357,216 is 3.

Thus, LCM of Fractions is 6217542.Finally, LCM of Fractions for 783/414, 258/357, 277/216 is 6217542.