Least Common Multiple of 3465/677, 4516/1625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3465/677, 4516/1625 quickly i.e. 15647940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3465/677, 4516/1625 is 15647940.

LCM(3465/677, 4516/1625) = 15647940

LCM of 3465/677, 4516/1625

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 3465/677,4516/1625

Given numbers are 3465/677,4516/1625

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 3465,4516

Least Common Multiple of Numerators i.e. LCM of 3465,4516 is 15647940.

GCF of Denominators means GCF of 677,1625 as per the given fractions.

GCF of 677,1625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3465,4516

LCM of Fractions 3465/677,4516/1625 is 15647940

Given numbers has no common factors except 1. So, there LCM is their product i.e 15647940

Least Common Multiple of 3465,4516 with GCF Formula

Least Common Multiple of 3465,4516 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 3465,4516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3465,4516) = 1

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

GCF(3465,4516) x common factors =1 x 1 = 1

LCM(3465,4516) = ( 3465 × 4516 ) / 1

LCM(3465,4516) = 15647940 / 1

LCM(3465,4516) = 15647940


Lets's calculate GCF of 677,1625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15647940/1

Therefore the LCM of Fractions 3465/677,4516/1625 is 15647940

Greatest Common Factor of 677,1625 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,1625 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 1625

List of positive integer factors of 1625 that divides 1625 without a remainder.

1,5,13,25,65,125,325,1625

Greatest Common Factor

We found the factors 677,1625 . The biggest common factor number is the GCF number.
So the greatest common factor 677,1625 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 3465/677, 4516/1625

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 3465/677, 4516/1625?

Answer: LCM of Numerators as per given numbers 3465/677, 4516/1625 is

LCM of Numerators i.e. for 3465,4516 is 15647940

GCF of denominators i.e. for 677,1625 is 1.

Thus, LCM of Fractions is 15647940.Finally, LCM of Fractions for 3465/677, 4516/1625 is 15647940.