Least Common Multiple of 305/406, 7021/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/406, 7021/158 quickly i.e. 2141405/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/406, 7021/158 is 2141405/2.

LCM(305/406, 7021/158) = 2141405/2

LCM of 305/406, 7021/158

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 305/406,7021/158

Given numbers are 305/406,7021/158

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 305,7021

Least Common Multiple of Numerators i.e. LCM of 305,7021 is 2141405.

GCF of Denominators means GCF of 406,158 as per the given fractions.

GCF of 406,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,7021

LCM of Fractions 305/406,7021/158 is 2141405/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 2141405

Least Common Multiple of 305,7021 with GCF Formula

Least Common Multiple of 305,7021 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 305,7021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,7021) = 1

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

GCF(305,7021) x common factors =1 x 1 = 1

LCM(305,7021) = ( 305 × 7021 ) / 1

LCM(305,7021) = 2141405 / 1

LCM(305,7021) = 2141405


Lets's calculate GCF of 406,158

2 406, 158
203, 79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2141405/2

Therefore the LCM of Fractions 305/406,7021/158 is 2141405/2

Greatest Common Factor of 406,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,158 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 406,158 . The biggest common factor number is the GCF number.
So the greatest common factor 406,158 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 305/406, 7021/158

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 305/406, 7021/158?

Answer: LCM of Numerators as per given numbers 305/406, 7021/158 is

LCM of Numerators i.e. for 305,7021 is 2141405

GCF of denominators i.e. for 406,158 is 2.

Thus, LCM of Fractions is 2141405/2.Finally, LCM of Fractions for 305/406, 7021/158 is 2141405/2.