Least Common Multiple of 20/455, 9590/8400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/455, 9590/8400 quickly i.e. 548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/455, 9590/8400 is 548.

LCM(20/455, 9590/8400) = 548

LCM of 20/455, 9590/8400

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 20/455,9590/8400

Given numbers are 20/455,9590/8400

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 20,9590

Least Common Multiple of Numerators i.e. LCM of 20,9590 is 19180.

GCF of Denominators means GCF of 455,8400 as per the given fractions.

GCF of 455,8400 is 35 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,9590

LCM of Fractions 20/455,9590/8400 is 548

2 20, 9590
5 10, 4795
2, 959

∴ So the LCM of the given numbers is 2 x 5 x 2 x 959 = 19180

Least Common Multiple of 20,9590 with GCF Formula

Least Common Multiple of 20,9590 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 20,9590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,9590) = 10

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

GCF(20,9590) x common factors =10 x 1 = 10

LCM(20,9590) = ( 20 × 9590 ) / 10

LCM(20,9590) = 191800 / 10

LCM(20,9590) = 19180


Lets's calculate GCF of 455,8400

5 455, 8400
7 91, 1680
13, 240

∴ So the GCF of the given numbers is 5 x 7 = 35

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19180/35

Therefore the LCM of Fractions 20/455,9590/8400 is 548

Greatest Common Factor of 455,8400 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,8400 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 8400

List of positive integer factors of 8400 that divides 8400 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,28,30,35,40,42,48,50,56,60,70,75,80,84,100,105,112,120,140,150,168,175,200,210,240,280,300,336,350,400,420,525,560,600,700,840,1050,1200,1400,1680,2100,2800,4200,8400

Greatest Common Factor

We found the factors 455,8400 . The biggest common factor number is the GCF number.
So the greatest common factor 455,8400 is 35.


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 20/455, 9590/8400

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 20/455, 9590/8400?

Answer: LCM of Numerators as per given numbers 20/455, 9590/8400 is

LCM of Numerators i.e. for 20,9590 is 19180

GCF of denominators i.e. for 455,8400 is 35.

Thus, LCM of Fractions is 548.Finally, LCM of Fractions for 20/455, 9590/8400 is 548.