Least Common Multiple of 175/390, 685/801, 567/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 175/390, 685/801, 567/663 quickly i.e. 647325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 175/390, 685/801, 567/663 is 647325.

LCM(175/390, 685/801, 567/663) = 647325

LCM of 175/390, 685/801, 567/663

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 175/390,685/801,567/663

Given numbers are 175/390,685/801,567/663

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 175,685,567

Least Common Multiple of Numerators i.e. LCM of 175,685,567 is 1941975.

GCF of Denominators means GCF of 390,801,663 as per the given fractions.

GCF of 390,801,663 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 175,685,567

LCM of Fractions 175/390,685/801,567/663 is 647325

5 175, 685, 567
7 35, 137, 567
5, 137, 81

∴ So the LCM of the given numbers is 5 x 7 x 5 x 137 x 81 = 1941975

Least Common Multiple of 175,685,567 with GCF Formula

Least Common Multiple of 175,685,567 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 175,685,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,685,567) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(175,685,567) x common factors =1 x 35 = 35

LCM(175,685,567) = ( 175 × 685 × 567 ) / 35

LCM(175,685,567) = 67969125 / 35

LCM(175,685,567) = 1941975


Lets's calculate GCF of 390,801,663

3 390, 801, 663
130, 267, 221

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1941975/3

Therefore the LCM of Fractions 175/390,685/801,567/663 is 647325

Greatest Common Factor of 390,801,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,801,663 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 390,801,663 . The biggest common factor number is the GCF number.
So the greatest common factor 390,801,663 is 3.


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 175/390, 685/801, 567/663

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 175/390, 685/801, 567/663?

Answer: LCM of Numerators as per given numbers 175/390, 685/801, 567/663 is

LCM of Numerators i.e. for 175,685,567 is 1941975

GCF of denominators i.e. for 390,801,663 is 3.

Thus, LCM of Fractions is 647325.Finally, LCM of Fractions for 175/390, 685/801, 567/663 is 647325.