Least Common Multiple of 2915/788, 1600/8228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2915/788, 1600/8228 quickly i.e. 233200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2915/788, 1600/8228 is 233200.

LCM(2915/788, 1600/8228) = 233200

LCM of 2915/788, 1600/8228

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 2915/788,1600/8228

Given numbers are 2915/788,1600/8228

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 2915,1600

Least Common Multiple of Numerators i.e. LCM of 2915,1600 is 932800.

GCF of Denominators means GCF of 788,8228 as per the given fractions.

GCF of 788,8228 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2915,1600

LCM of Fractions 2915/788,1600/8228 is 233200

5 2915, 1600
583, 320

∴ So the LCM of the given numbers is 5 x 583 x 320 = 932800

Least Common Multiple of 2915,1600 with GCF Formula

Least Common Multiple of 2915,1600 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 2915,1600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2915,1600) = 5

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

GCF(2915,1600) x common factors =5 x 1 = 5

LCM(2915,1600) = ( 2915 × 1600 ) / 5

LCM(2915,1600) = 4664000 / 5

LCM(2915,1600) = 932800


Lets's calculate GCF of 788,8228

2 788, 8228
2 394, 4114
197, 2057

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 932800/4

Therefore the LCM of Fractions 2915/788,1600/8228 is 233200

Greatest Common Factor of 788,8228 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,8228 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 8228

List of positive integer factors of 8228 that divides 8228 without a remainder.

1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228

Greatest Common Factor

We found the factors 788,8228 . The biggest common factor number is the GCF number.
So the greatest common factor 788,8228 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 2915/788, 1600/8228

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 2915/788, 1600/8228?

Answer: LCM of Numerators as per given numbers 2915/788, 1600/8228 is

LCM of Numerators i.e. for 2915,1600 is 932800

GCF of denominators i.e. for 788,8228 is 4.

Thus, LCM of Fractions is 233200.Finally, LCM of Fractions for 2915/788, 1600/8228 is 233200.