Least Common Multiple of 407/562, 3049/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/562, 3049/202 quickly i.e. 1240943/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/562, 3049/202 is 1240943/2.

LCM(407/562, 3049/202) = 1240943/2

LCM of 407/562, 3049/202

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 407/562,3049/202

Given numbers are 407/562,3049/202

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 407,3049

Least Common Multiple of Numerators i.e. LCM of 407,3049 is 1240943.

GCF of Denominators means GCF of 562,202 as per the given fractions.

GCF of 562,202 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,3049

LCM of Fractions 407/562,3049/202 is 1240943/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1240943

Least Common Multiple of 407,3049 with GCF Formula

Least Common Multiple of 407,3049 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 407,3049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,3049) = 1

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

GCF(407,3049) x common factors =1 x 1 = 1

LCM(407,3049) = ( 407 × 3049 ) / 1

LCM(407,3049) = 1240943 / 1

LCM(407,3049) = 1240943


Lets's calculate GCF of 562,202

2 562, 202
281, 101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1240943/2

Therefore the LCM of Fractions 407/562,3049/202 is 1240943/2

Greatest Common Factor of 562,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,202 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 562,202 . The biggest common factor number is the GCF number.
So the greatest common factor 562,202 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 407/562, 3049/202

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 407/562, 3049/202?

Answer: LCM of Numerators as per given numbers 407/562, 3049/202 is

LCM of Numerators i.e. for 407,3049 is 1240943

GCF of denominators i.e. for 562,202 is 2.

Thus, LCM of Fractions is 1240943/2.Finally, LCM of Fractions for 407/562, 3049/202 is 1240943/2.