Least Common Multiple of 2816/252, 1023/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2816/252, 1023/799 quickly i.e. 261888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2816/252, 1023/799 is 261888.

LCM(2816/252, 1023/799) = 261888

LCM of 2816/252, 1023/799

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 2816/252,1023/799

Given numbers are 2816/252,1023/799

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 2816,1023

Least Common Multiple of Numerators i.e. LCM of 2816,1023 is 261888.

GCF of Denominators means GCF of 252,799 as per the given fractions.

GCF of 252,799 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2816,1023

LCM of Fractions 2816/252,1023/799 is 261888

11 2816, 1023
256, 93

∴ So the LCM of the given numbers is 11 x 256 x 93 = 261888

Least Common Multiple of 2816,1023 with GCF Formula

Least Common Multiple of 2816,1023 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 2816,1023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2816,1023) = 11

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

GCF(2816,1023) x common factors =11 x 1 = 11

LCM(2816,1023) = ( 2816 × 1023 ) / 11

LCM(2816,1023) = 2880768 / 11

LCM(2816,1023) = 261888


Lets's calculate GCF of 252,799

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261888/1

Therefore the LCM of Fractions 2816/252,1023/799 is 261888

Greatest Common Factor of 252,799 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,799 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Greatest Common Factor

We found the factors 252,799 . The biggest common factor number is the GCF number.
So the greatest common factor 252,799 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2816/252, 1023/799

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 2816/252, 1023/799?

Answer: LCM of Numerators as per given numbers 2816/252, 1023/799 is

LCM of Numerators i.e. for 2816,1023 is 261888

GCF of denominators i.e. for 252,799 is 1.

Thus, LCM of Fractions is 261888.Finally, LCM of Fractions for 2816/252, 1023/799 is 261888.