Least Common Multiple of 779/92, 181/98, 828/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 779/92, 181/98, 828/396 quickly i.e. 58373586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 779/92, 181/98, 828/396 is 58373586.

LCM(779/92, 181/98, 828/396) = 58373586

LCM of 779/92, 181/98, 828/396

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 779/92,181/98,828/396

Given numbers are 779/92,181/98,828/396

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 779,181,828

Least Common Multiple of Numerators i.e. LCM of 779,181,828 is 116747172.

GCF of Denominators means GCF of 92,98,396 as per the given fractions.

GCF of 92,98,396 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 779,181,828

LCM of Fractions 779/92,181/98,828/396 is 58373586

Given numbers has no common factors except 1. So, there LCM is their product i.e 116747172

Least Common Multiple of 779,181,828 with GCF Formula

Least Common Multiple of 779,181,828 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 779,181,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,181,828) = 1

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

GCF(779,181,828) x common factors =1 x 1 = 1

LCM(779,181,828) = ( 779 × 181 × 828 ) / 1

LCM(779,181,828) = 116747172 / 1

LCM(779,181,828) = 116747172


Lets's calculate GCF of 92,98,396

2 92, 98, 396
46, 49, 198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116747172/2

Therefore the LCM of Fractions 779/92,181/98,828/396 is 58373586

Greatest Common Factor of 92,98,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,98,396 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 92,98,396 . The biggest common factor number is the GCF number.
So the greatest common factor 92,98,396 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 779/92, 181/98, 828/396

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 779/92, 181/98, 828/396?

Answer: LCM of Numerators as per given numbers 779/92, 181/98, 828/396 is

LCM of Numerators i.e. for 779,181,828 is 116747172

GCF of denominators i.e. for 92,98,396 is 2.

Thus, LCM of Fractions is 58373586.Finally, LCM of Fractions for 779/92, 181/98, 828/396 is 58373586.