Least Common Multiple of 1031/475, 4028/1575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1031/475, 4028/1575 quickly i.e. 4152868/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1031/475, 4028/1575 is 4152868/25.

LCM(1031/475, 4028/1575) = 4152868/25

LCM of 1031/475, 4028/1575

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 1031/475,4028/1575

Given numbers are 1031/475,4028/1575

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 1031,4028

Least Common Multiple of Numerators i.e. LCM of 1031,4028 is 4152868.

GCF of Denominators means GCF of 475,1575 as per the given fractions.

GCF of 475,1575 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1031,4028

LCM of Fractions 1031/475,4028/1575 is 4152868/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 4152868

Least Common Multiple of 1031,4028 with GCF Formula

Least Common Multiple of 1031,4028 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 1031,4028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1031,4028) = 1

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

GCF(1031,4028) x common factors =1 x 1 = 1

LCM(1031,4028) = ( 1031 × 4028 ) / 1

LCM(1031,4028) = 4152868 / 1

LCM(1031,4028) = 4152868


Lets's calculate GCF of 475,1575

5 475, 1575
5 95, 315
19, 63

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4152868/25

Therefore the LCM of Fractions 1031/475,4028/1575 is 4152868/25

Greatest Common Factor of 475,1575 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,1575 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 1575

List of positive integer factors of 1575 that divides 1575 without a remainder.

1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575

Greatest Common Factor

We found the factors 475,1575 . The biggest common factor number is the GCF number.
So the greatest common factor 475,1575 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 1031/475, 4028/1575

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 1031/475, 4028/1575?

Answer: LCM of Numerators as per given numbers 1031/475, 4028/1575 is

LCM of Numerators i.e. for 1031,4028 is 4152868

GCF of denominators i.e. for 475,1575 is 25.

Thus, LCM of Fractions is 4152868/25.Finally, LCM of Fractions for 1031/475, 4028/1575 is 4152868/25.