Least Common Multiple of 7318/71, 4102/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7318/71, 4102/355 quickly i.e. 15009218/71 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7318/71, 4102/355 is 15009218/71.

LCM(7318/71, 4102/355) = 15009218/71

LCM of 7318/71, 4102/355

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 7318/71,4102/355

Given numbers are 7318/71,4102/355

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 7318,4102

Least Common Multiple of Numerators i.e. LCM of 7318,4102 is 15009218.

GCF of Denominators means GCF of 71,355 as per the given fractions.

GCF of 71,355 is 71 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7318,4102

LCM of Fractions 7318/71,4102/355 is 15009218/71

2 7318, 4102
3659, 2051

∴ So the LCM of the given numbers is 2 x 3659 x 2051 = 15009218

Least Common Multiple of 7318,4102 with GCF Formula

Least Common Multiple of 7318,4102 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 7318,4102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7318,4102) = 2

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

GCF(7318,4102) x common factors =2 x 1 = 2

LCM(7318,4102) = ( 7318 × 4102 ) / 2

LCM(7318,4102) = 30018436 / 2

LCM(7318,4102) = 15009218


Lets's calculate GCF of 71,355

71 71, 355
1, 5

∴ So the GCF of the given numbers is 71 = 71

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15009218/71

Therefore the LCM of Fractions 7318/71,4102/355 is 15009218/71

Greatest Common Factor of 71,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,355 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 71,355 . The biggest common factor number is the GCF number.
So the greatest common factor 71,355 is 71.


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 7318/71, 4102/355

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 7318/71, 4102/355?

Answer: LCM of Numerators as per given numbers 7318/71, 4102/355 is

LCM of Numerators i.e. for 7318,4102 is 15009218

GCF of denominators i.e. for 71,355 is 71.

Thus, LCM of Fractions is 15009218/71.Finally, LCM of Fractions for 7318/71, 4102/355 is 15009218/71.