Least Common Multiple of 420/95, 300/9850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/95, 300/9850 quickly i.e. 420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/95, 300/9850 is 420.

LCM(420/95, 300/9850) = 420

LCM of 420/95, 300/9850

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 420/95,300/9850

Given numbers are 420/95,300/9850

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 420,300

Least Common Multiple of Numerators i.e. LCM of 420,300 is 2100.

GCF of Denominators means GCF of 95,9850 as per the given fractions.

GCF of 95,9850 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,300

LCM of Fractions 420/95,300/9850 is 420

2 420, 300
2 210, 150
3 105, 75
5 35, 25
7, 5

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

Least Common Multiple of 420,300 with GCF Formula

Least Common Multiple of 420,300 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 420,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,300) = 60

common factors(in case of two or more numbers have common factors) = 1

GCF(420,300) x common factors =60 x 1 = 60

LCM(420,300) = ( 420 × 300 ) / 60

LCM(420,300) = 126000 / 60

LCM(420,300) = 2100


Lets's calculate GCF of 95,9850

5 95, 9850
19, 1970

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2100/5

Therefore the LCM of Fractions 420/95,300/9850 is 420

Greatest Common Factor of 95,9850 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,9850 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 9850

List of positive integer factors of 9850 that divides 9850 without a remainder.

1,2,5,10,25,50,197,394,985,1970,4925,9850

Greatest Common Factor

We found the factors 95,9850 . The biggest common factor number is the GCF number.
So the greatest common factor 95,9850 is 5.


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 420/95, 300/9850

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 420/95, 300/9850?

Answer: LCM of Numerators as per given numbers 420/95, 300/9850 is

LCM of Numerators i.e. for 420,300 is 2100

GCF of denominators i.e. for 95,9850 is 5.

Thus, LCM of Fractions is 420.Finally, LCM of Fractions for 420/95, 300/9850 is 420.