Least Common Multiple of 3505/760, 3282/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3505/760, 3282/510 quickly i.e. 1150341 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3505/760, 3282/510 is 1150341.

LCM(3505/760, 3282/510) = 1150341

LCM of 3505/760, 3282/510

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 3505/760,3282/510

Given numbers are 3505/760,3282/510

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 3505,3282

Least Common Multiple of Numerators i.e. LCM of 3505,3282 is 11503410.

GCF of Denominators means GCF of 760,510 as per the given fractions.

GCF of 760,510 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3505,3282

LCM of Fractions 3505/760,3282/510 is 1150341

Given numbers has no common factors except 1. So, there LCM is their product i.e 11503410

Least Common Multiple of 3505,3282 with GCF Formula

Least Common Multiple of 3505,3282 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 3505,3282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3505,3282) = 1

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

GCF(3505,3282) x common factors =1 x 1 = 1

LCM(3505,3282) = ( 3505 × 3282 ) / 1

LCM(3505,3282) = 11503410 / 1

LCM(3505,3282) = 11503410


Lets's calculate GCF of 760,510

2 760, 510
5 380, 255
76, 51

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11503410/10

Therefore the LCM of Fractions 3505/760,3282/510 is 1150341

Greatest Common Factor of 760,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,510 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 760,510 . The biggest common factor number is the GCF number.
So the greatest common factor 760,510 is 10.


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 3505/760, 3282/510

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 3505/760, 3282/510?

Answer: LCM of Numerators as per given numbers 3505/760, 3282/510 is

LCM of Numerators i.e. for 3505,3282 is 11503410

GCF of denominators i.e. for 760,510 is 10.

Thus, LCM of Fractions is 1150341.Finally, LCM of Fractions for 3505/760, 3282/510 is 1150341.