Least Common Multiple of 50/772, 92/836, 616/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/772, 92/836, 616/496 quickly i.e. 88550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/772, 92/836, 616/496 is 88550.

LCM(50/772, 92/836, 616/496) = 88550

LCM of 50/772, 92/836, 616/496

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 50/772,92/836,616/496

Given numbers are 50/772,92/836,616/496

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 50,92,616

Least Common Multiple of Numerators i.e. LCM of 50,92,616 is 354200.

GCF of Denominators means GCF of 772,836,496 as per the given fractions.

GCF of 772,836,496 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,92,616

LCM of Fractions 50/772,92/836,616/496 is 88550

2 50, 92, 616
2 25, 46, 308
25, 23, 154

∴ So the LCM of the given numbers is 2 x 2 x 25 x 23 x 154 = 354200

Least Common Multiple of 50,92,616 with GCF Formula

Least Common Multiple of 50,92,616 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 50,92,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,92,616) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(50,92,616) x common factors =2 x 4 = 8

LCM(50,92,616) = ( 50 × 92 × 616 ) / 8

LCM(50,92,616) = 2833600 / 8

LCM(50,92,616) = 354200


Lets's calculate GCF of 772,836,496

2 772, 836, 496
2 386, 418, 248
193, 209, 124

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 354200/4

Therefore the LCM of Fractions 50/772,92/836,616/496 is 88550

Greatest Common Factor of 772,836,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,836,496 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 772,836,496 . The biggest common factor number is the GCF number.
So the greatest common factor 772,836,496 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/772, 92/836, 616/496

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 50/772, 92/836, 616/496?

Answer: LCM of Numerators as per given numbers 50/772, 92/836, 616/496 is

LCM of Numerators i.e. for 50,92,616 is 354200

GCF of denominators i.e. for 772,836,496 is 4.

Thus, LCM of Fractions is 88550.Finally, LCM of Fractions for 50/772, 92/836, 616/496 is 88550.