Least Common Multiple of 828/302, 3064/5531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 828/302, 3064/5531 quickly i.e. 634248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/302, 3064/5531 is 634248.

LCM(828/302, 3064/5531) = 634248

LCM of 828/302, 3064/5531

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 828/302,3064/5531

Given numbers are 828/302,3064/5531

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 828,3064

Least Common Multiple of Numerators i.e. LCM of 828,3064 is 634248.

GCF of Denominators means GCF of 302,5531 as per the given fractions.

GCF of 302,5531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,3064

LCM of Fractions 828/302,3064/5531 is 634248

2 828, 3064
2 414, 1532
207, 766

∴ So the LCM of the given numbers is 2 x 2 x 207 x 766 = 634248

Least Common Multiple of 828,3064 with GCF Formula

Least Common Multiple of 828,3064 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 828,3064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,3064) = 4

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

GCF(828,3064) x common factors =4 x 1 = 4

LCM(828,3064) = ( 828 × 3064 ) / 4

LCM(828,3064) = 2536992 / 4

LCM(828,3064) = 634248


Lets's calculate GCF of 302,5531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 634248/1

Therefore the LCM of Fractions 828/302,3064/5531 is 634248

Greatest Common Factor of 302,5531 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,5531 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 5531

List of positive integer factors of 5531 that divides 5531 without a remainder.

1,5531

Greatest Common Factor

We found the factors 302,5531 . The biggest common factor number is the GCF number.
So the greatest common factor 302,5531 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 828/302, 3064/5531

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 828/302, 3064/5531?

Answer: LCM of Numerators as per given numbers 828/302, 3064/5531 is

LCM of Numerators i.e. for 828,3064 is 634248

GCF of denominators i.e. for 302,5531 is 1.

Thus, LCM of Fractions is 634248.Finally, LCM of Fractions for 828/302, 3064/5531 is 634248.