Least Common Multiple of 828/19, 714/5196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/19, 714/5196 quickly i.e. 98532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/19, 714/5196 is 98532.

LCM(828/19, 714/5196) = 98532

LCM of 828/19, 714/5196

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 828/19,714/5196

Given numbers are 828/19,714/5196

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 828,714

Least Common Multiple of Numerators i.e. LCM of 828,714 is 98532.

GCF of Denominators means GCF of 19,5196 as per the given fractions.

GCF of 19,5196 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,714

LCM of Fractions 828/19,714/5196 is 98532

2 828, 714
3 414, 357
138, 119

∴ So the LCM of the given numbers is 2 x 3 x 138 x 119 = 98532

Least Common Multiple of 828,714 with GCF Formula

Least Common Multiple of 828,714 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 828,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,714) = 6

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

GCF(828,714) x common factors =6 x 1 = 6

LCM(828,714) = ( 828 × 714 ) / 6

LCM(828,714) = 591192 / 6

LCM(828,714) = 98532


Lets's calculate GCF of 19,5196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98532/1

Therefore the LCM of Fractions 828/19,714/5196 is 98532

Greatest Common Factor of 19,5196 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,5196 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 5196

List of positive integer factors of 5196 that divides 5196 without a remainder.

1,2,3,4,6,12,433,866,1299,1732,2598,5196

Greatest Common Factor

We found the factors 19,5196 . The biggest common factor number is the GCF number.
So the greatest common factor 19,5196 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 828/19, 714/5196

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 828/19, 714/5196?

Answer: LCM of Numerators as per given numbers 828/19, 714/5196 is

LCM of Numerators i.e. for 828,714 is 98532

GCF of denominators i.e. for 19,5196 is 1.

Thus, LCM of Fractions is 98532.Finally, LCM of Fractions for 828/19, 714/5196 is 98532.