Least Common Multiple of 798/64, 598/68, 868/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 798/64, 598/68, 868/462 quickly i.e. 7396662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 798/64, 598/68, 868/462 is 7396662.

LCM(798/64, 598/68, 868/462) = 7396662

LCM of 798/64, 598/68, 868/462

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 798/64,598/68,868/462

Given numbers are 798/64,598/68,868/462

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 798,598,868

Least Common Multiple of Numerators i.e. LCM of 798,598,868 is 14793324.

GCF of Denominators means GCF of 64,68,462 as per the given fractions.

GCF of 64,68,462 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 798,598,868

LCM of Fractions 798/64,598/68,868/462 is 7396662

2 798, 598, 868
7 399, 299, 434
57, 299, 62

∴ So the LCM of the given numbers is 2 x 7 x 57 x 299 x 62 = 14793324

Least Common Multiple of 798,598,868 with GCF Formula

Least Common Multiple of 798,598,868 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 798,598,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,598,868) = 2

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

GCF(798,598,868) x common factors =2 x 14 = 28

LCM(798,598,868) = ( 798 × 598 × 868 ) / 28

LCM(798,598,868) = 414213072 / 28

LCM(798,598,868) = 14793324


Lets's calculate GCF of 64,68,462

2 64, 68, 462
32, 34, 231

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14793324/2

Therefore the LCM of Fractions 798/64,598/68,868/462 is 7396662

Greatest Common Factor of 64,68,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,68,462 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 64,68,462 . The biggest common factor number is the GCF number.
So the greatest common factor 64,68,462 is 2.


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 798/64, 598/68, 868/462

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 798/64, 598/68, 868/462?

Answer: LCM of Numerators as per given numbers 798/64, 598/68, 868/462 is

LCM of Numerators i.e. for 798,598,868 is 14793324

GCF of denominators i.e. for 64,68,462 is 2.

Thus, LCM of Fractions is 7396662.Finally, LCM of Fractions for 798/64, 598/68, 868/462 is 7396662.