Least Common Multiple of 1290/437, 1680/3880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1290/437, 1680/3880 quickly i.e. 72240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1290/437, 1680/3880 is 72240.

LCM(1290/437, 1680/3880) = 72240

LCM of 1290/437, 1680/3880

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 1290/437,1680/3880

Given numbers are 1290/437,1680/3880

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 1290,1680

Least Common Multiple of Numerators i.e. LCM of 1290,1680 is 72240.

GCF of Denominators means GCF of 437,3880 as per the given fractions.

GCF of 437,3880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1290,1680

LCM of Fractions 1290/437,1680/3880 is 72240

2 1290, 1680
3 645, 840
5 215, 280
43, 56

∴ So the LCM of the given numbers is 2 x 3 x 5 x 43 x 56 = 72240

Least Common Multiple of 1290,1680 with GCF Formula

Least Common Multiple of 1290,1680 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 1290,1680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1290,1680) = 30

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

GCF(1290,1680) x common factors =30 x 1 = 30

LCM(1290,1680) = ( 1290 × 1680 ) / 30

LCM(1290,1680) = 2167200 / 30

LCM(1290,1680) = 72240


Lets's calculate GCF of 437,3880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72240/1

Therefore the LCM of Fractions 1290/437,1680/3880 is 72240

Greatest Common Factor of 437,3880 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,3880 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 3880

List of positive integer factors of 3880 that divides 3880 without a remainder.

1,2,4,5,8,10,20,40,97,194,388,485,776,970,1940,3880

Greatest Common Factor

We found the factors 437,3880 . The biggest common factor number is the GCF number.
So the greatest common factor 437,3880 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 1290/437, 1680/3880

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 1290/437, 1680/3880?

Answer: LCM of Numerators as per given numbers 1290/437, 1680/3880 is

LCM of Numerators i.e. for 1290,1680 is 72240

GCF of denominators i.e. for 437,3880 is 1.

Thus, LCM of Fractions is 72240.Finally, LCM of Fractions for 1290/437, 1680/3880 is 72240.