Least Common Multiple of 7/364, 34/419, 68/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/364, 34/419, 68/792 quickly i.e. 476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/364, 34/419, 68/792 is 476.

LCM(7/364, 34/419, 68/792) = 476

LCM of 7/364, 34/419, 68/792

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 7/364,34/419,68/792

Given numbers are 7/364,34/419,68/792

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 7,34,68

Least Common Multiple of Numerators i.e. LCM of 7,34,68 is 476.

GCF of Denominators means GCF of 364,419,792 as per the given fractions.

GCF of 364,419,792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,34,68

LCM of Fractions 7/364,34/419,68/792 is 476

2 7, 34, 68
17 7, 17, 34
7, 1, 2

∴ So the LCM of the given numbers is 2 x 17 x 7 x 1 x 2 = 476

Least Common Multiple of 7,34,68 with GCF Formula

Least Common Multiple of 7,34,68 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 7,34,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,34,68) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(7,34,68) x common factors =1 x 34 = 34

LCM(7,34,68) = ( 7 × 34 × 68 ) / 34

LCM(7,34,68) = 16184 / 34

LCM(7,34,68) = 476


Lets's calculate GCF of 364,419,792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 476/1

Therefore the LCM of Fractions 7/364,34/419,68/792 is 476

Greatest Common Factor of 364,419,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,419,792 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 364,419,792 . The biggest common factor number is the GCF number.
So the greatest common factor 364,419,792 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 7/364, 34/419, 68/792

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 7/364, 34/419, 68/792?

Answer: LCM of Numerators as per given numbers 7/364, 34/419, 68/792 is

LCM of Numerators i.e. for 7,34,68 is 476

GCF of denominators i.e. for 364,419,792 is 1.

Thus, LCM of Fractions is 476.Finally, LCM of Fractions for 7/364, 34/419, 68/792 is 476.