Least Common Multiple of 7342/820, 1200/7018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7342/820, 1200/7018 quickly i.e. 2202600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7342/820, 1200/7018 is 2202600.

LCM(7342/820, 1200/7018) = 2202600

LCM of 7342/820, 1200/7018

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 7342/820,1200/7018

Given numbers are 7342/820,1200/7018

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 7342,1200

Least Common Multiple of Numerators i.e. LCM of 7342,1200 is 4405200.

GCF of Denominators means GCF of 820,7018 as per the given fractions.

GCF of 820,7018 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7342,1200

LCM of Fractions 7342/820,1200/7018 is 2202600

2 7342, 1200
3671, 600

∴ So the LCM of the given numbers is 2 x 3671 x 600 = 4405200

Least Common Multiple of 7342,1200 with GCF Formula

Least Common Multiple of 7342,1200 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 7342,1200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7342,1200) = 2

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

GCF(7342,1200) x common factors =2 x 1 = 2

LCM(7342,1200) = ( 7342 × 1200 ) / 2

LCM(7342,1200) = 8810400 / 2

LCM(7342,1200) = 4405200


Lets's calculate GCF of 820,7018

2 820, 7018
410, 3509

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4405200/2

Therefore the LCM of Fractions 7342/820,1200/7018 is 2202600

Greatest Common Factor of 820,7018 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,7018 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 7018

List of positive integer factors of 7018 that divides 7018 without a remainder.

1,2,11,22,29,58,121,242,319,638,3509,7018

Greatest Common Factor

We found the factors 820,7018 . The biggest common factor number is the GCF number.
So the greatest common factor 820,7018 is 2.


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 7342/820, 1200/7018

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 7342/820, 1200/7018?

Answer: LCM of Numerators as per given numbers 7342/820, 1200/7018 is

LCM of Numerators i.e. for 7342,1200 is 4405200

GCF of denominators i.e. for 820,7018 is 2.

Thus, LCM of Fractions is 2202600.Finally, LCM of Fractions for 7342/820, 1200/7018 is 2202600.