Least Common Multiple of 2730/507, 1911/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2730/507, 1911/840 quickly i.e. 6370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2730/507, 1911/840 is 6370.

LCM(2730/507, 1911/840) = 6370

LCM of 2730/507, 1911/840

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 2730/507,1911/840

Given numbers are 2730/507,1911/840

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 2730,1911

Least Common Multiple of Numerators i.e. LCM of 2730,1911 is 19110.

GCF of Denominators means GCF of 507,840 as per the given fractions.

GCF of 507,840 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2730,1911

LCM of Fractions 2730/507,1911/840 is 6370

3 2730, 1911
7 910, 637
13 130, 91
10, 7

∴ So the LCM of the given numbers is 3 x 7 x 13 x 10 x 7 = 19110

Least Common Multiple of 2730,1911 with GCF Formula

Least Common Multiple of 2730,1911 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 2730,1911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2730,1911) = 273

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

GCF(2730,1911) x common factors =273 x 1 = 273

LCM(2730,1911) = ( 2730 × 1911 ) / 273

LCM(2730,1911) = 5217030 / 273

LCM(2730,1911) = 19110


Lets's calculate GCF of 507,840

3 507, 840
169, 280

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19110/3

Therefore the LCM of Fractions 2730/507,1911/840 is 6370

Greatest Common Factor of 507,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,840 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 507,840 . The biggest common factor number is the GCF number.
So the greatest common factor 507,840 is 3.


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 2730/507, 1911/840

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 2730/507, 1911/840?

Answer: LCM of Numerators as per given numbers 2730/507, 1911/840 is

LCM of Numerators i.e. for 2730,1911 is 19110

GCF of denominators i.e. for 507,840 is 3.

Thus, LCM of Fractions is 6370.Finally, LCM of Fractions for 2730/507, 1911/840 is 6370.