Least Common Multiple of 8440/210, 2300/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8440/210, 2300/355 quickly i.e. 194120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8440/210, 2300/355 is 194120.

LCM(8440/210, 2300/355) = 194120

LCM of 8440/210, 2300/355

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 8440/210,2300/355

Given numbers are 8440/210,2300/355

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 8440,2300

Least Common Multiple of Numerators i.e. LCM of 8440,2300 is 970600.

GCF of Denominators means GCF of 210,355 as per the given fractions.

GCF of 210,355 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8440,2300

LCM of Fractions 8440/210,2300/355 is 194120

2 8440, 2300
2 4220, 1150
5 2110, 575
422, 115

∴ So the LCM of the given numbers is 2 x 2 x 5 x 422 x 115 = 970600

Least Common Multiple of 8440,2300 with GCF Formula

Least Common Multiple of 8440,2300 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 8440,2300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8440,2300) = 20

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

GCF(8440,2300) x common factors =20 x 1 = 20

LCM(8440,2300) = ( 8440 × 2300 ) / 20

LCM(8440,2300) = 19412000 / 20

LCM(8440,2300) = 970600


Lets's calculate GCF of 210,355

5 210, 355
42, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 970600/5

Therefore the LCM of Fractions 8440/210,2300/355 is 194120

Greatest Common Factor of 210,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,355 By Matching Biggest Common Factor Method

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

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 210,355 . The biggest common factor number is the GCF number.
So the greatest common factor 210,355 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 8440/210, 2300/355

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 8440/210, 2300/355?

Answer: LCM of Numerators as per given numbers 8440/210, 2300/355 is

LCM of Numerators i.e. for 8440,2300 is 970600

GCF of denominators i.e. for 210,355 is 5.

Thus, LCM of Fractions is 194120.Finally, LCM of Fractions for 8440/210, 2300/355 is 194120.