Least Common Multiple of 220/325, 915/815, 600/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 220/325, 915/815, 600/674 quickly i.e. 402600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 220/325, 915/815, 600/674 is 402600.

LCM(220/325, 915/815, 600/674) = 402600

LCM of 220/325, 915/815, 600/674

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 220/325,915/815,600/674

Given numbers are 220/325,915/815,600/674

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 220,915,600

Least Common Multiple of Numerators i.e. LCM of 220,915,600 is 402600.

GCF of Denominators means GCF of 325,815,674 as per the given fractions.

GCF of 325,815,674 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 220,915,600

LCM of Fractions 220/325,915/815,600/674 is 402600

2 220, 915, 600
2 110, 915, 300
3 55, 915, 150
5 55, 305, 50
11, 61, 10

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 11 x 61 x 10 = 402600

Least Common Multiple of 220,915,600 with GCF Formula

Least Common Multiple of 220,915,600 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 220,915,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,915,600) = 5

common factors(in case of two or more numbers have common factors) = 60

GCF(220,915,600) x common factors =5 x 60 = 300

LCM(220,915,600) = ( 220 × 915 × 600 ) / 300

LCM(220,915,600) = 120780000 / 300

LCM(220,915,600) = 402600


Lets's calculate GCF of 325,815,674

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 402600/1

Therefore the LCM of Fractions 220/325,915/815,600/674 is 402600

Greatest Common Factor of 325,815,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,815,674 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 325,815,674 . The biggest common factor number is the GCF number.
So the greatest common factor 325,815,674 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 220/325, 915/815, 600/674

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 220/325, 915/815, 600/674?

Answer: LCM of Numerators as per given numbers 220/325, 915/815, 600/674 is

LCM of Numerators i.e. for 220,915,600 is 402600

GCF of denominators i.e. for 325,815,674 is 1.

Thus, LCM of Fractions is 402600.Finally, LCM of Fractions for 220/325, 915/815, 600/674 is 402600.