Least Common Multiple of 7602/678, 4748/9575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7602/678, 4748/9575 quickly i.e. 18047148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7602/678, 4748/9575 is 18047148.

LCM(7602/678, 4748/9575) = 18047148

LCM of 7602/678, 4748/9575

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 7602/678,4748/9575

Given numbers are 7602/678,4748/9575

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 7602,4748

Least Common Multiple of Numerators i.e. LCM of 7602,4748 is 18047148.

GCF of Denominators means GCF of 678,9575 as per the given fractions.

GCF of 678,9575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7602,4748

LCM of Fractions 7602/678,4748/9575 is 18047148

2 7602, 4748
3801, 2374

∴ So the LCM of the given numbers is 2 x 3801 x 2374 = 18047148

Least Common Multiple of 7602,4748 with GCF Formula

Least Common Multiple of 7602,4748 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 7602,4748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7602,4748) = 2

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

GCF(7602,4748) x common factors =2 x 1 = 2

LCM(7602,4748) = ( 7602 × 4748 ) / 2

LCM(7602,4748) = 36094296 / 2

LCM(7602,4748) = 18047148


Lets's calculate GCF of 678,9575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18047148/1

Therefore the LCM of Fractions 7602/678,4748/9575 is 18047148

Greatest Common Factor of 678,9575 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,9575 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 9575

List of positive integer factors of 9575 that divides 9575 without a remainder.

1,5,25,383,1915,9575

Greatest Common Factor

We found the factors 678,9575 . The biggest common factor number is the GCF number.
So the greatest common factor 678,9575 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 7602/678, 4748/9575

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 7602/678, 4748/9575?

Answer: LCM of Numerators as per given numbers 7602/678, 4748/9575 is

LCM of Numerators i.e. for 7602,4748 is 18047148

GCF of denominators i.e. for 678,9575 is 1.

Thus, LCM of Fractions is 18047148.Finally, LCM of Fractions for 7602/678, 4748/9575 is 18047148.