Least Common Multiple of 49/928, 4275/6469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 49/928, 4275/6469 quickly i.e. 209475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/928, 4275/6469 is 209475.

LCM(49/928, 4275/6469) = 209475

LCM of 49/928, 4275/6469

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 49/928,4275/6469

Given numbers are 49/928,4275/6469

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 49,4275

Least Common Multiple of Numerators i.e. LCM of 49,4275 is 209475.

GCF of Denominators means GCF of 928,6469 as per the given fractions.

GCF of 928,6469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,4275

LCM of Fractions 49/928,4275/6469 is 209475

Given numbers has no common factors except 1. So, there LCM is their product i.e 209475

Least Common Multiple of 49,4275 with GCF Formula

Least Common Multiple of 49,4275 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 49,4275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,4275) = 1

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

GCF(49,4275) x common factors =1 x 1 = 1

LCM(49,4275) = ( 49 × 4275 ) / 1

LCM(49,4275) = 209475 / 1

LCM(49,4275) = 209475


Lets's calculate GCF of 928,6469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209475/1

Therefore the LCM of Fractions 49/928,4275/6469 is 209475

Greatest Common Factor of 928,6469 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,6469 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 6469

List of positive integer factors of 6469 that divides 6469 without a remainder.

1,6469

Greatest Common Factor

We found the factors 928,6469 . The biggest common factor number is the GCF number.
So the greatest common factor 928,6469 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 49/928, 4275/6469

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 49/928, 4275/6469?

Answer: LCM of Numerators as per given numbers 49/928, 4275/6469 is

LCM of Numerators i.e. for 49,4275 is 209475

GCF of denominators i.e. for 928,6469 is 1.

Thus, LCM of Fractions is 209475.Finally, LCM of Fractions for 49/928, 4275/6469 is 209475.