Least Common Multiple of 3400/440, 5306/7230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3400/440, 5306/7230 quickly i.e. 902020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3400/440, 5306/7230 is 902020.

LCM(3400/440, 5306/7230) = 902020

LCM of 3400/440, 5306/7230

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 3400/440,5306/7230

Given numbers are 3400/440,5306/7230

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 3400,5306

Least Common Multiple of Numerators i.e. LCM of 3400,5306 is 9020200.

GCF of Denominators means GCF of 440,7230 as per the given fractions.

GCF of 440,7230 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3400,5306

LCM of Fractions 3400/440,5306/7230 is 902020

2 3400, 5306
1700, 2653

∴ So the LCM of the given numbers is 2 x 1700 x 2653 = 9020200

Least Common Multiple of 3400,5306 with GCF Formula

Least Common Multiple of 3400,5306 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 3400,5306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3400,5306) = 2

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

GCF(3400,5306) x common factors =2 x 1 = 2

LCM(3400,5306) = ( 3400 × 5306 ) / 2

LCM(3400,5306) = 18040400 / 2

LCM(3400,5306) = 9020200


Lets's calculate GCF of 440,7230

2 440, 7230
5 220, 3615
44, 723

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9020200/10

Therefore the LCM of Fractions 3400/440,5306/7230 is 902020

Greatest Common Factor of 440,7230 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,7230 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 7230

List of positive integer factors of 7230 that divides 7230 without a remainder.

1,2,3,5,6,10,15,30,241,482,723,1205,1446,2410,3615,7230

Greatest Common Factor

We found the factors 440,7230 . The biggest common factor number is the GCF number.
So the greatest common factor 440,7230 is 10.


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 3400/440, 5306/7230

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 3400/440, 5306/7230?

Answer: LCM of Numerators as per given numbers 3400/440, 5306/7230 is

LCM of Numerators i.e. for 3400,5306 is 9020200

GCF of denominators i.e. for 440,7230 is 10.

Thus, LCM of Fractions is 902020.Finally, LCM of Fractions for 3400/440, 5306/7230 is 902020.