Least Common Multiple of 1780/520, 6696/2884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1780/520, 6696/2884 quickly i.e. 744930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1780/520, 6696/2884 is 744930.

LCM(1780/520, 6696/2884) = 744930

LCM of 1780/520, 6696/2884

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 1780/520,6696/2884

Given numbers are 1780/520,6696/2884

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 1780,6696

Least Common Multiple of Numerators i.e. LCM of 1780,6696 is 2979720.

GCF of Denominators means GCF of 520,2884 as per the given fractions.

GCF of 520,2884 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1780,6696

LCM of Fractions 1780/520,6696/2884 is 744930

2 1780, 6696
2 890, 3348
445, 1674

∴ So the LCM of the given numbers is 2 x 2 x 445 x 1674 = 2979720

Least Common Multiple of 1780,6696 with GCF Formula

Least Common Multiple of 1780,6696 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 1780,6696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1780,6696) = 4

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

GCF(1780,6696) x common factors =4 x 1 = 4

LCM(1780,6696) = ( 1780 × 6696 ) / 4

LCM(1780,6696) = 11918880 / 4

LCM(1780,6696) = 2979720


Lets's calculate GCF of 520,2884

2 520, 2884
2 260, 1442
130, 721

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2979720/4

Therefore the LCM of Fractions 1780/520,6696/2884 is 744930

Greatest Common Factor of 520,2884 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,2884 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 2884

List of positive integer factors of 2884 that divides 2884 without a remainder.

1,2,4,7,14,28,103,206,412,721,1442,2884

Greatest Common Factor

We found the factors 520,2884 . The biggest common factor number is the GCF number.
So the greatest common factor 520,2884 is 4.


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 1780/520, 6696/2884

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 1780/520, 6696/2884?

Answer: LCM of Numerators as per given numbers 1780/520, 6696/2884 is

LCM of Numerators i.e. for 1780,6696 is 2979720

GCF of denominators i.e. for 520,2884 is 4.

Thus, LCM of Fractions is 744930.Finally, LCM of Fractions for 1780/520, 6696/2884 is 744930.