Least Common Multiple of 608/42, 146/68, 829/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 608/42, 146/68, 829/683 quickly i.e. 36794336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 608/42, 146/68, 829/683 is 36794336.

LCM(608/42, 146/68, 829/683) = 36794336

LCM of 608/42, 146/68, 829/683

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 608/42,146/68,829/683

Given numbers are 608/42,146/68,829/683

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 608,146,829

Least Common Multiple of Numerators i.e. LCM of 608,146,829 is 36794336.

GCF of Denominators means GCF of 42,68,683 as per the given fractions.

GCF of 42,68,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 608,146,829

LCM of Fractions 608/42,146/68,829/683 is 36794336

2 608, 146, 829
304, 73, 829

∴ So the LCM of the given numbers is 2 x 304 x 73 x 829 = 36794336

Least Common Multiple of 608,146,829 with GCF Formula

Least Common Multiple of 608,146,829 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 608,146,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,146,829) = 1

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

GCF(608,146,829) x common factors =1 x 2 = 2

LCM(608,146,829) = ( 608 × 146 × 829 ) / 2

LCM(608,146,829) = 73588672 / 2

LCM(608,146,829) = 36794336


Lets's calculate GCF of 42,68,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36794336/1

Therefore the LCM of Fractions 608/42,146/68,829/683 is 36794336

Greatest Common Factor of 42,68,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,68,683 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 68

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

1,2,4,17,34,68

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 42,68,683 . The biggest common factor number is the GCF number.
So the greatest common factor 42,68,683 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 608/42, 146/68, 829/683

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 608/42, 146/68, 829/683?

Answer: LCM of Numerators as per given numbers 608/42, 146/68, 829/683 is

LCM of Numerators i.e. for 608,146,829 is 36794336

GCF of denominators i.e. for 42,68,683 is 1.

Thus, LCM of Fractions is 36794336.Finally, LCM of Fractions for 608/42, 146/68, 829/683 is 36794336.