Least Common Multiple of 34/42, 45/42, 30/17, 40/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/42, 45/42, 30/17, 40/893 quickly i.e. 6120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/42, 45/42, 30/17, 40/893 is 6120.

LCM(34/42, 45/42, 30/17, 40/893) = 6120

LCM of 34/42, 45/42, 30/17, 40/893

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 34/42,45/42,30/17,40/893

Given numbers are 34/42,45/42,30/17,40/893

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 34,45,30,40

Least Common Multiple of Numerators i.e. LCM of 34,45,30,40 is 6120.

GCF of Denominators means GCF of 42,42,17,893 as per the given fractions.

GCF of 42,42,17,893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,45,30,40

LCM of Fractions 34/42,45/42,30/17,40/893 is 6120

2 34, 45, 30, 40
3 17, 45, 15, 20
5 17, 5, 15, 20
17, 1, 3, 4

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 1 x 3 x 4 = 6120

Least Common Multiple of 34,45,30,40 with GCF Formula

Least Common Multiple of 34,45,30,40 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 34,45,30,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,45,30,40) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(34,45,30,40) x common factors =1 x 300 = 300

LCM(34,45,30,40) = ( 34 × 45 × 30 × 40 ) / 300

LCM(34,45,30,40) = 1836000 / 300

LCM(34,45,30,40) = 6120


Lets's calculate GCF of 42,42,17,893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6120/1

Therefore the LCM of Fractions 34/42,45/42,30/17,40/893 is 6120

Greatest Common Factor of 42,42,17,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,42,17,893 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 42

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

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

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 42,42,17,893 . The biggest common factor number is the GCF number.
So the greatest common factor 42,42,17,893 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 34/42, 45/42, 30/17, 40/893

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 34/42, 45/42, 30/17, 40/893?

Answer: LCM of Numerators as per given numbers 34/42, 45/42, 30/17, 40/893 is

LCM of Numerators i.e. for 34,45,30,40 is 6120

GCF of denominators i.e. for 42,42,17,893 is 1.

Thus, LCM of Fractions is 6120.Finally, LCM of Fractions for 34/42, 45/42, 30/17, 40/893 is 6120.