Least Common Multiple of 5230/425, 1625/1475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5230/425, 1625/1475 quickly i.e. 67990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5230/425, 1625/1475 is 67990.

LCM(5230/425, 1625/1475) = 67990

LCM of 5230/425, 1625/1475

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 5230/425,1625/1475

Given numbers are 5230/425,1625/1475

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 5230,1625

Least Common Multiple of Numerators i.e. LCM of 5230,1625 is 1699750.

GCF of Denominators means GCF of 425,1475 as per the given fractions.

GCF of 425,1475 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5230,1625

LCM of Fractions 5230/425,1625/1475 is 67990

5 5230, 1625
1046, 325

∴ So the LCM of the given numbers is 5 x 1046 x 325 = 1699750

Least Common Multiple of 5230,1625 with GCF Formula

Least Common Multiple of 5230,1625 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 5230,1625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5230,1625) = 5

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

GCF(5230,1625) x common factors =5 x 1 = 5

LCM(5230,1625) = ( 5230 × 1625 ) / 5

LCM(5230,1625) = 8498750 / 5

LCM(5230,1625) = 1699750


Lets's calculate GCF of 425,1475

5 425, 1475
5 85, 295
17, 59

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1699750/25

Therefore the LCM of Fractions 5230/425,1625/1475 is 67990

Greatest Common Factor of 425,1475 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,1475 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 1475

List of positive integer factors of 1475 that divides 1475 without a remainder.

1,5,25,59,295,1475

Greatest Common Factor

We found the factors 425,1475 . The biggest common factor number is the GCF number.
So the greatest common factor 425,1475 is 25.


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 5230/425, 1625/1475

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 5230/425, 1625/1475?

Answer: LCM of Numerators as per given numbers 5230/425, 1625/1475 is

LCM of Numerators i.e. for 5230,1625 is 1699750

GCF of denominators i.e. for 425,1475 is 25.

Thus, LCM of Fractions is 67990.Finally, LCM of Fractions for 5230/425, 1625/1475 is 67990.