Least Common Multiple of 805/175, 9280/9065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 805/175, 9280/9065 quickly i.e. 42688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 805/175, 9280/9065 is 42688.

LCM(805/175, 9280/9065) = 42688

LCM of 805/175, 9280/9065

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 805/175,9280/9065

Given numbers are 805/175,9280/9065

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 805,9280

Least Common Multiple of Numerators i.e. LCM of 805,9280 is 1494080.

GCF of Denominators means GCF of 175,9065 as per the given fractions.

GCF of 175,9065 is 35 as it is the largest common factor for these numbers.

Lets's calculate LCM of 805,9280

LCM of Fractions 805/175,9280/9065 is 42688

5 805, 9280
161, 1856

∴ So the LCM of the given numbers is 5 x 161 x 1856 = 1494080

Least Common Multiple of 805,9280 with GCF Formula

Least Common Multiple of 805,9280 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 805,9280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,9280) = 5

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

GCF(805,9280) x common factors =5 x 1 = 5

LCM(805,9280) = ( 805 × 9280 ) / 5

LCM(805,9280) = 7470400 / 5

LCM(805,9280) = 1494080


Lets's calculate GCF of 175,9065

5 175, 9065
7 35, 1813
5, 259

∴ So the GCF of the given numbers is 5 x 7 = 35

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1494080/35

Therefore the LCM of Fractions 805/175,9280/9065 is 42688

Greatest Common Factor of 175,9065 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,9065 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 9065

List of positive integer factors of 9065 that divides 9065 without a remainder.

1,5,7,35,37,49,185,245,259,1295,1813,9065

Greatest Common Factor

We found the factors 175,9065 . The biggest common factor number is the GCF number.
So the greatest common factor 175,9065 is 35.


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 805/175, 9280/9065

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 805/175, 9280/9065?

Answer: LCM of Numerators as per given numbers 805/175, 9280/9065 is

LCM of Numerators i.e. for 805,9280 is 1494080

GCF of denominators i.e. for 175,9065 is 35.

Thus, LCM of Fractions is 42688.Finally, LCM of Fractions for 805/175, 9280/9065 is 42688.