Least Common Multiple of 280/66, 510/2058

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/66, 510/2058 quickly i.e. 2380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/66, 510/2058 is 2380.

LCM(280/66, 510/2058) = 2380

LCM of 280/66, 510/2058

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 280/66,510/2058

Given numbers are 280/66,510/2058

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 280,510

Least Common Multiple of Numerators i.e. LCM of 280,510 is 14280.

GCF of Denominators means GCF of 66,2058 as per the given fractions.

GCF of 66,2058 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,510

LCM of Fractions 280/66,510/2058 is 2380

2 280, 510
5 140, 255
28, 51

∴ So the LCM of the given numbers is 2 x 5 x 28 x 51 = 14280

Least Common Multiple of 280,510 with GCF Formula

Least Common Multiple of 280,510 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 280,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,510) = 10

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

GCF(280,510) x common factors =10 x 1 = 10

LCM(280,510) = ( 280 × 510 ) / 10

LCM(280,510) = 142800 / 10

LCM(280,510) = 14280


Lets's calculate GCF of 66,2058

2 66, 2058
3 33, 1029
11, 343

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14280/6

Therefore the LCM of Fractions 280/66,510/2058 is 2380

Greatest Common Factor of 66,2058 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,2058 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 2058

List of positive integer factors of 2058 that divides 2058 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294,343,686,1029,2058

Greatest Common Factor

We found the factors 66,2058 . The biggest common factor number is the GCF number.
So the greatest common factor 66,2058 is 6.


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 280/66, 510/2058

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 280/66, 510/2058?

Answer: LCM of Numerators as per given numbers 280/66, 510/2058 is

LCM of Numerators i.e. for 280,510 is 14280

GCF of denominators i.e. for 66,2058 is 6.

Thus, LCM of Fractions is 2380.Finally, LCM of Fractions for 280/66, 510/2058 is 2380.