Least Common Multiple of 20/308, 42/599, 700/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/308, 42/599, 700/469 quickly i.e. 2100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/308, 42/599, 700/469 is 2100.

LCM(20/308, 42/599, 700/469) = 2100

LCM of 20/308, 42/599, 700/469

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 20/308,42/599,700/469

Given numbers are 20/308,42/599,700/469

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 20,42,700

Least Common Multiple of Numerators i.e. LCM of 20,42,700 is 2100.

GCF of Denominators means GCF of 308,599,469 as per the given fractions.

GCF of 308,599,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,42,700

LCM of Fractions 20/308,42/599,700/469 is 2100

2 20, 42, 700
2 10, 21, 350
5 5, 21, 175
7 1, 21, 35
1, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 3 x 5 = 2100

Least Common Multiple of 20,42,700 with GCF Formula

Least Common Multiple of 20,42,700 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 20,42,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,42,700) = 2

common factors(in case of two or more numbers have common factors) = 140

GCF(20,42,700) x common factors =2 x 140 = 280

LCM(20,42,700) = ( 20 × 42 × 700 ) / 280

LCM(20,42,700) = 588000 / 280

LCM(20,42,700) = 2100


Lets's calculate GCF of 308,599,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2100/1

Therefore the LCM of Fractions 20/308,42/599,700/469 is 2100

Greatest Common Factor of 308,599,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,599,469 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 308,599,469 . The biggest common factor number is the GCF number.
So the greatest common factor 308,599,469 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 20/308, 42/599, 700/469

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 20/308, 42/599, 700/469?

Answer: LCM of Numerators as per given numbers 20/308, 42/599, 700/469 is

LCM of Numerators i.e. for 20,42,700 is 2100

GCF of denominators i.e. for 308,599,469 is 1.

Thus, LCM of Fractions is 2100.Finally, LCM of Fractions for 20/308, 42/599, 700/469 is 2100.