Least Common Multiple of 260/902, 308/497, 319/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 260/902, 308/497, 319/662 quickly i.e. 580580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/902, 308/497, 319/662 is 580580.

LCM(260/902, 308/497, 319/662) = 580580

LCM of 260/902, 308/497, 319/662

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 260/902,308/497,319/662

Given numbers are 260/902,308/497,319/662

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 260,308,319

Least Common Multiple of Numerators i.e. LCM of 260,308,319 is 580580.

GCF of Denominators means GCF of 902,497,662 as per the given fractions.

GCF of 902,497,662 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,308,319

LCM of Fractions 260/902,308/497,319/662 is 580580

2 260, 308, 319
2 130, 154, 319
11 65, 77, 319
65, 7, 29

∴ So the LCM of the given numbers is 2 x 2 x 11 x 65 x 7 x 29 = 580580

Least Common Multiple of 260,308,319 with GCF Formula

Least Common Multiple of 260,308,319 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 260,308,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,308,319) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(260,308,319) x common factors =1 x 44 = 44

LCM(260,308,319) = ( 260 × 308 × 319 ) / 44

LCM(260,308,319) = 25545520 / 44

LCM(260,308,319) = 580580


Lets's calculate GCF of 902,497,662

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580580/1

Therefore the LCM of Fractions 260/902,308/497,319/662 is 580580

Greatest Common Factor of 902,497,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,497,662 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 902,497,662 . The biggest common factor number is the GCF number.
So the greatest common factor 902,497,662 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 260/902, 308/497, 319/662

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 260/902, 308/497, 319/662?

Answer: LCM of Numerators as per given numbers 260/902, 308/497, 319/662 is

LCM of Numerators i.e. for 260,308,319 is 580580

GCF of denominators i.e. for 902,497,662 is 1.

Thus, LCM of Fractions is 580580.Finally, LCM of Fractions for 260/902, 308/497, 319/662 is 580580.