Least Common Multiple of 7072/414, 1065/7741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7072/414, 1065/7741 quickly i.e. 7531680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7072/414, 1065/7741 is 7531680.

LCM(7072/414, 1065/7741) = 7531680

LCM of 7072/414, 1065/7741

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 7072/414,1065/7741

Given numbers are 7072/414,1065/7741

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 7072,1065

Least Common Multiple of Numerators i.e. LCM of 7072,1065 is 7531680.

GCF of Denominators means GCF of 414,7741 as per the given fractions.

GCF of 414,7741 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7072,1065

LCM of Fractions 7072/414,1065/7741 is 7531680

Given numbers has no common factors except 1. So, there LCM is their product i.e 7531680

Least Common Multiple of 7072,1065 with GCF Formula

Least Common Multiple of 7072,1065 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 7072,1065 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7072,1065) = 1

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

GCF(7072,1065) x common factors =1 x 1 = 1

LCM(7072,1065) = ( 7072 × 1065 ) / 1

LCM(7072,1065) = 7531680 / 1

LCM(7072,1065) = 7531680


Lets's calculate GCF of 414,7741

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7531680/1

Therefore the LCM of Fractions 7072/414,1065/7741 is 7531680

Greatest Common Factor of 414,7741 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,7741 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 7741

List of positive integer factors of 7741 that divides 7741 without a remainder.

1,7741

Greatest Common Factor

We found the factors 414,7741 . The biggest common factor number is the GCF number.
So the greatest common factor 414,7741 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 7072/414, 1065/7741

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 7072/414, 1065/7741?

Answer: LCM of Numerators as per given numbers 7072/414, 1065/7741 is

LCM of Numerators i.e. for 7072,1065 is 7531680

GCF of denominators i.e. for 414,7741 is 1.

Thus, LCM of Fractions is 7531680.Finally, LCM of Fractions for 7072/414, 1065/7741 is 7531680.