Least Common Multiple of 77/84, 516/74, 822/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/84, 516/74, 822/536 quickly i.e. 2721642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/84, 516/74, 822/536 is 2721642.

LCM(77/84, 516/74, 822/536) = 2721642

LCM of 77/84, 516/74, 822/536

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 77/84,516/74,822/536

Given numbers are 77/84,516/74,822/536

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 77,516,822

Least Common Multiple of Numerators i.e. LCM of 77,516,822 is 5443284.

GCF of Denominators means GCF of 84,74,536 as per the given fractions.

GCF of 84,74,536 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,516,822

LCM of Fractions 77/84,516/74,822/536 is 2721642

2 77, 516, 822
3 77, 258, 411
77, 86, 137

∴ So the LCM of the given numbers is 2 x 3 x 77 x 86 x 137 = 5443284

Least Common Multiple of 77,516,822 with GCF Formula

Least Common Multiple of 77,516,822 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 77,516,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,516,822) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(77,516,822) x common factors =1 x 6 = 6

LCM(77,516,822) = ( 77 × 516 × 822 ) / 6

LCM(77,516,822) = 32659704 / 6

LCM(77,516,822) = 5443284


Lets's calculate GCF of 84,74,536

2 84, 74, 536
42, 37, 268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5443284/2

Therefore the LCM of Fractions 77/84,516/74,822/536 is 2721642

Greatest Common Factor of 84,74,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,74,536 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 84,74,536 . The biggest common factor number is the GCF number.
So the greatest common factor 84,74,536 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 77/84, 516/74, 822/536

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 77/84, 516/74, 822/536?

Answer: LCM of Numerators as per given numbers 77/84, 516/74, 822/536 is

LCM of Numerators i.e. for 77,516,822 is 5443284

GCF of denominators i.e. for 84,74,536 is 2.

Thus, LCM of Fractions is 2721642.Finally, LCM of Fractions for 77/84, 516/74, 822/536 is 2721642.