Least Common Multiple of 2536/788, 3420/8419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2536/788, 3420/8419 quickly i.e. 2168280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2536/788, 3420/8419 is 2168280.

LCM(2536/788, 3420/8419) = 2168280

LCM of 2536/788, 3420/8419

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 2536/788,3420/8419

Given numbers are 2536/788,3420/8419

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 2536,3420

Least Common Multiple of Numerators i.e. LCM of 2536,3420 is 2168280.

GCF of Denominators means GCF of 788,8419 as per the given fractions.

GCF of 788,8419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2536,3420

LCM of Fractions 2536/788,3420/8419 is 2168280

2 2536, 3420
2 1268, 1710
634, 855

∴ So the LCM of the given numbers is 2 x 2 x 634 x 855 = 2168280

Least Common Multiple of 2536,3420 with GCF Formula

Least Common Multiple of 2536,3420 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 2536,3420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2536,3420) = 4

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

GCF(2536,3420) x common factors =4 x 1 = 4

LCM(2536,3420) = ( 2536 × 3420 ) / 4

LCM(2536,3420) = 8673120 / 4

LCM(2536,3420) = 2168280


Lets's calculate GCF of 788,8419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2168280/1

Therefore the LCM of Fractions 2536/788,3420/8419 is 2168280

Greatest Common Factor of 788,8419 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,8419 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 8419

List of positive integer factors of 8419 that divides 8419 without a remainder.

1,8419

Greatest Common Factor

We found the factors 788,8419 . The biggest common factor number is the GCF number.
So the greatest common factor 788,8419 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 2536/788, 3420/8419

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 2536/788, 3420/8419?

Answer: LCM of Numerators as per given numbers 2536/788, 3420/8419 is

LCM of Numerators i.e. for 2536,3420 is 2168280

GCF of denominators i.e. for 788,8419 is 1.

Thus, LCM of Fractions is 2168280.Finally, LCM of Fractions for 2536/788, 3420/8419 is 2168280.