Least Common Multiple of 10/45, 34/30, 40/74, 43/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/45, 34/30, 40/74, 43/210 quickly i.e. 29240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/45, 34/30, 40/74, 43/210 is 29240.

LCM(10/45, 34/30, 40/74, 43/210) = 29240

LCM of 10/45, 34/30, 40/74, 43/210

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 10/45,34/30,40/74,43/210

Given numbers are 10/45,34/30,40/74,43/210

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 10,34,40,43

Least Common Multiple of Numerators i.e. LCM of 10,34,40,43 is 29240.

GCF of Denominators means GCF of 45,30,74,210 as per the given fractions.

GCF of 45,30,74,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,34,40,43

LCM of Fractions 10/45,34/30,40/74,43/210 is 29240

2 10, 34, 40, 43
5 5, 17, 20, 43
1, 17, 4, 43

∴ So the LCM of the given numbers is 2 x 5 x 1 x 17 x 4 x 43 = 29240

Least Common Multiple of 10,34,40,43 with GCF Formula

Least Common Multiple of 10,34,40,43 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 10,34,40,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,34,40,43) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(10,34,40,43) x common factors =1 x 20 = 20

LCM(10,34,40,43) = ( 10 × 34 × 40 × 43 ) / 20

LCM(10,34,40,43) = 584800 / 20

LCM(10,34,40,43) = 29240


Lets's calculate GCF of 45,30,74,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29240/1

Therefore the LCM of Fractions 10/45,34/30,40/74,43/210 is 29240

Greatest Common Factor of 45,30,74,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,30,74,210 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 45,30,74,210 . The biggest common factor number is the GCF number.
So the greatest common factor 45,30,74,210 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 10/45, 34/30, 40/74, 43/210

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 10/45, 34/30, 40/74, 43/210?

Answer: LCM of Numerators as per given numbers 10/45, 34/30, 40/74, 43/210 is

LCM of Numerators i.e. for 10,34,40,43 is 29240

GCF of denominators i.e. for 45,30,74,210 is 1.

Thus, LCM of Fractions is 29240.Finally, LCM of Fractions for 10/45, 34/30, 40/74, 43/210 is 29240.