Least Common Multiple of 20/200, 707/306, 258/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/200, 707/306, 258/190 quickly i.e. 912030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/200, 707/306, 258/190 is 912030.

LCM(20/200, 707/306, 258/190) = 912030

LCM of 20/200, 707/306, 258/190

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 20/200,707/306,258/190

Given numbers are 20/200,707/306,258/190

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 20,707,258

Least Common Multiple of Numerators i.e. LCM of 20,707,258 is 1824060.

GCF of Denominators means GCF of 200,306,190 as per the given fractions.

GCF of 200,306,190 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,707,258

LCM of Fractions 20/200,707/306,258/190 is 912030

2 20, 707, 258
10, 707, 129

∴ So the LCM of the given numbers is 2 x 10 x 707 x 129 = 1824060

Least Common Multiple of 20,707,258 with GCF Formula

Least Common Multiple of 20,707,258 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 20,707,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,707,258) = 1

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

GCF(20,707,258) x common factors =1 x 2 = 2

LCM(20,707,258) = ( 20 × 707 × 258 ) / 2

LCM(20,707,258) = 3648120 / 2

LCM(20,707,258) = 1824060


Lets's calculate GCF of 200,306,190

2 200, 306, 190
100, 153, 95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1824060/2

Therefore the LCM of Fractions 20/200,707/306,258/190 is 912030

Greatest Common Factor of 200,306,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,306,190 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 200,306,190 . The biggest common factor number is the GCF number.
So the greatest common factor 200,306,190 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 20/200, 707/306, 258/190

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 20/200, 707/306, 258/190?

Answer: LCM of Numerators as per given numbers 20/200, 707/306, 258/190 is

LCM of Numerators i.e. for 20,707,258 is 1824060

GCF of denominators i.e. for 200,306,190 is 2.

Thus, LCM of Fractions is 912030.Finally, LCM of Fractions for 20/200, 707/306, 258/190 is 912030.