Least Common Multiple of 465/675, 9400/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/675, 9400/550 quickly i.e. 34968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/675, 9400/550 is 34968.

LCM(465/675, 9400/550) = 34968

LCM of 465/675, 9400/550

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 465/675,9400/550

Given numbers are 465/675,9400/550

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 465,9400

Least Common Multiple of Numerators i.e. LCM of 465,9400 is 874200.

GCF of Denominators means GCF of 675,550 as per the given fractions.

GCF of 675,550 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,9400

LCM of Fractions 465/675,9400/550 is 34968

5 465, 9400
93, 1880

∴ So the LCM of the given numbers is 5 x 93 x 1880 = 874200

Least Common Multiple of 465,9400 with GCF Formula

Least Common Multiple of 465,9400 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 465,9400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,9400) = 5

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

GCF(465,9400) x common factors =5 x 1 = 5

LCM(465,9400) = ( 465 × 9400 ) / 5

LCM(465,9400) = 4371000 / 5

LCM(465,9400) = 874200


Lets's calculate GCF of 675,550

5 675, 550
5 135, 110
27, 22

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 874200/25

Therefore the LCM of Fractions 465/675,9400/550 is 34968

Greatest Common Factor of 675,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,550 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 675,550 . The biggest common factor number is the GCF number.
So the greatest common factor 675,550 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 465/675, 9400/550

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 465/675, 9400/550?

Answer: LCM of Numerators as per given numbers 465/675, 9400/550 is

LCM of Numerators i.e. for 465,9400 is 874200

GCF of denominators i.e. for 675,550 is 25.

Thus, LCM of Fractions is 34968.Finally, LCM of Fractions for 465/675, 9400/550 is 34968.