Least Common Multiple of 534/113, 1606/7375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 534/113, 1606/7375 quickly i.e. 428802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 534/113, 1606/7375 is 428802.

LCM(534/113, 1606/7375) = 428802

LCM of 534/113, 1606/7375

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 534/113,1606/7375

Given numbers are 534/113,1606/7375

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 534,1606

Least Common Multiple of Numerators i.e. LCM of 534,1606 is 428802.

GCF of Denominators means GCF of 113,7375 as per the given fractions.

GCF of 113,7375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 534,1606

LCM of Fractions 534/113,1606/7375 is 428802

2 534, 1606
267, 803

∴ So the LCM of the given numbers is 2 x 267 x 803 = 428802

Least Common Multiple of 534,1606 with GCF Formula

Least Common Multiple of 534,1606 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 534,1606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,1606) = 2

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

GCF(534,1606) x common factors =2 x 1 = 2

LCM(534,1606) = ( 534 × 1606 ) / 2

LCM(534,1606) = 857604 / 2

LCM(534,1606) = 428802


Lets's calculate GCF of 113,7375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428802/1

Therefore the LCM of Fractions 534/113,1606/7375 is 428802

Greatest Common Factor of 113,7375 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,7375 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 7375

List of positive integer factors of 7375 that divides 7375 without a remainder.

1,5,25,59,125,295,1475,7375

Greatest Common Factor

We found the factors 113,7375 . The biggest common factor number is the GCF number.
So the greatest common factor 113,7375 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 534/113, 1606/7375

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 534/113, 1606/7375?

Answer: LCM of Numerators as per given numbers 534/113, 1606/7375 is

LCM of Numerators i.e. for 534,1606 is 428802

GCF of denominators i.e. for 113,7375 is 1.

Thus, LCM of Fractions is 428802.Finally, LCM of Fractions for 534/113, 1606/7375 is 428802.