Least Common Multiple of 34/787, 67/576, 686/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/787, 67/576, 686/662 quickly i.e. 781354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/787, 67/576, 686/662 is 781354.

LCM(34/787, 67/576, 686/662) = 781354

LCM of 34/787, 67/576, 686/662

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 34/787,67/576,686/662

Given numbers are 34/787,67/576,686/662

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 34,67,686

Least Common Multiple of Numerators i.e. LCM of 34,67,686 is 781354.

GCF of Denominators means GCF of 787,576,662 as per the given fractions.

GCF of 787,576,662 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,67,686

LCM of Fractions 34/787,67/576,686/662 is 781354

2 34, 67, 686
17, 67, 343

∴ So the LCM of the given numbers is 2 x 17 x 67 x 343 = 781354

Least Common Multiple of 34,67,686 with GCF Formula

Least Common Multiple of 34,67,686 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 34,67,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,67,686) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,67,686) x common factors =1 x 2 = 2

LCM(34,67,686) = ( 34 × 67 × 686 ) / 2

LCM(34,67,686) = 1562708 / 2

LCM(34,67,686) = 781354


Lets's calculate GCF of 787,576,662

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 781354/1

Therefore the LCM of Fractions 34/787,67/576,686/662 is 781354

Greatest Common Factor of 787,576,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,576,662 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 787,576,662 . The biggest common factor number is the GCF number.
So the greatest common factor 787,576,662 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 34/787, 67/576, 686/662

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 34/787, 67/576, 686/662?

Answer: LCM of Numerators as per given numbers 34/787, 67/576, 686/662 is

LCM of Numerators i.e. for 34,67,686 is 781354

GCF of denominators i.e. for 787,576,662 is 1.

Thus, LCM of Fractions is 781354.Finally, LCM of Fractions for 34/787, 67/576, 686/662 is 781354.