Least Common Multiple of 7306/146, 1696/6213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7306/146, 1696/6213 quickly i.e. 6195488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7306/146, 1696/6213 is 6195488.

LCM(7306/146, 1696/6213) = 6195488

LCM of 7306/146, 1696/6213

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 7306/146,1696/6213

Given numbers are 7306/146,1696/6213

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 7306,1696

Least Common Multiple of Numerators i.e. LCM of 7306,1696 is 6195488.

GCF of Denominators means GCF of 146,6213 as per the given fractions.

GCF of 146,6213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7306,1696

LCM of Fractions 7306/146,1696/6213 is 6195488

2 7306, 1696
3653, 848

∴ So the LCM of the given numbers is 2 x 3653 x 848 = 6195488

Least Common Multiple of 7306,1696 with GCF Formula

Least Common Multiple of 7306,1696 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 7306,1696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7306,1696) = 2

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

GCF(7306,1696) x common factors =2 x 1 = 2

LCM(7306,1696) = ( 7306 × 1696 ) / 2

LCM(7306,1696) = 12390976 / 2

LCM(7306,1696) = 6195488


Lets's calculate GCF of 146,6213

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6195488/1

Therefore the LCM of Fractions 7306/146,1696/6213 is 6195488

Greatest Common Factor of 146,6213 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,6213 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 6213

List of positive integer factors of 6213 that divides 6213 without a remainder.

1,3,19,57,109,327,2071,6213

Greatest Common Factor

We found the factors 146,6213 . The biggest common factor number is the GCF number.
So the greatest common factor 146,6213 is 1.


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 7306/146, 1696/6213

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 7306/146, 1696/6213?

Answer: LCM of Numerators as per given numbers 7306/146, 1696/6213 is

LCM of Numerators i.e. for 7306,1696 is 6195488

GCF of denominators i.e. for 146,6213 is 1.

Thus, LCM of Fractions is 6195488.Finally, LCM of Fractions for 7306/146, 1696/6213 is 6195488.