Least Common Multiple of 16/714, 348/777, 708/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/714, 348/777, 708/587 quickly i.e. 82128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/714, 348/777, 708/587 is 82128.

LCM(16/714, 348/777, 708/587) = 82128

LCM of 16/714, 348/777, 708/587

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 16/714,348/777,708/587

Given numbers are 16/714,348/777,708/587

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 16,348,708

Least Common Multiple of Numerators i.e. LCM of 16,348,708 is 82128.

GCF of Denominators means GCF of 714,777,587 as per the given fractions.

GCF of 714,777,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,348,708

LCM of Fractions 16/714,348/777,708/587 is 82128

2 16, 348, 708
2 8, 174, 354
3 4, 87, 177
4, 29, 59

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 29 x 59 = 82128

Least Common Multiple of 16,348,708 with GCF Formula

Least Common Multiple of 16,348,708 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 16,348,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,348,708) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(16,348,708) x common factors =4 x 12 = 48

LCM(16,348,708) = ( 16 × 348 × 708 ) / 48

LCM(16,348,708) = 3942144 / 48

LCM(16,348,708) = 82128


Lets's calculate GCF of 714,777,587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82128/1

Therefore the LCM of Fractions 16/714,348/777,708/587 is 82128

Greatest Common Factor of 714,777,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,777,587 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 714,777,587 . The biggest common factor number is the GCF number.
So the greatest common factor 714,777,587 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 16/714, 348/777, 708/587

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 16/714, 348/777, 708/587?

Answer: LCM of Numerators as per given numbers 16/714, 348/777, 708/587 is

LCM of Numerators i.e. for 16,348,708 is 82128

GCF of denominators i.e. for 714,777,587 is 1.

Thus, LCM of Fractions is 82128.Finally, LCM of Fractions for 16/714, 348/777, 708/587 is 82128.