Least Common Multiple of 828/86, 562/7132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/86, 562/7132 quickly i.e. 116334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/86, 562/7132 is 116334.

LCM(828/86, 562/7132) = 116334

LCM of 828/86, 562/7132

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 828/86,562/7132

Given numbers are 828/86,562/7132

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 828,562

Least Common Multiple of Numerators i.e. LCM of 828,562 is 232668.

GCF of Denominators means GCF of 86,7132 as per the given fractions.

GCF of 86,7132 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,562

LCM of Fractions 828/86,562/7132 is 116334

2 828, 562
414, 281

∴ So the LCM of the given numbers is 2 x 414 x 281 = 232668

Least Common Multiple of 828,562 with GCF Formula

Least Common Multiple of 828,562 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 828,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,562) = 2

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

GCF(828,562) x common factors =2 x 1 = 2

LCM(828,562) = ( 828 × 562 ) / 2

LCM(828,562) = 465336 / 2

LCM(828,562) = 232668


Lets's calculate GCF of 86,7132

2 86, 7132
43, 3566

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232668/2

Therefore the LCM of Fractions 828/86,562/7132 is 116334

Greatest Common Factor of 86,7132 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,7132 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 7132

List of positive integer factors of 7132 that divides 7132 without a remainder.

1,2,4,1783,3566,7132

Greatest Common Factor

We found the factors 86,7132 . The biggest common factor number is the GCF number.
So the greatest common factor 86,7132 is 2.


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 828/86, 562/7132

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 828/86, 562/7132?

Answer: LCM of Numerators as per given numbers 828/86, 562/7132 is

LCM of Numerators i.e. for 828,562 is 232668

GCF of denominators i.e. for 86,7132 is 2.

Thus, LCM of Fractions is 116334.Finally, LCM of Fractions for 828/86, 562/7132 is 116334.