Least Common Multiple of 7545/830, 1350/3578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7545/830, 1350/3578 quickly i.e. 339525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7545/830, 1350/3578 is 339525.

LCM(7545/830, 1350/3578) = 339525

LCM of 7545/830, 1350/3578

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 7545/830,1350/3578

Given numbers are 7545/830,1350/3578

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 7545,1350

Least Common Multiple of Numerators i.e. LCM of 7545,1350 is 679050.

GCF of Denominators means GCF of 830,3578 as per the given fractions.

GCF of 830,3578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7545,1350

LCM of Fractions 7545/830,1350/3578 is 339525

3 7545, 1350
5 2515, 450
503, 90

∴ So the LCM of the given numbers is 3 x 5 x 503 x 90 = 679050

Least Common Multiple of 7545,1350 with GCF Formula

Least Common Multiple of 7545,1350 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 7545,1350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7545,1350) = 15

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

GCF(7545,1350) x common factors =15 x 1 = 15

LCM(7545,1350) = ( 7545 × 1350 ) / 15

LCM(7545,1350) = 10185750 / 15

LCM(7545,1350) = 679050


Lets's calculate GCF of 830,3578

2 830, 3578
415, 1789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 679050/2

Therefore the LCM of Fractions 7545/830,1350/3578 is 339525

Greatest Common Factor of 830,3578 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,3578 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 3578

List of positive integer factors of 3578 that divides 3578 without a remainder.

1,2,1789,3578

Greatest Common Factor

We found the factors 830,3578 . The biggest common factor number is the GCF number.
So the greatest common factor 830,3578 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 7545/830, 1350/3578

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 7545/830, 1350/3578?

Answer: LCM of Numerators as per given numbers 7545/830, 1350/3578 is

LCM of Numerators i.e. for 7545,1350 is 679050

GCF of denominators i.e. for 830,3578 is 2.

Thus, LCM of Fractions is 339525.Finally, LCM of Fractions for 7545/830, 1350/3578 is 339525.