Least Common Multiple of 696/522, 392/860, 376/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 696/522, 392/860, 376/584 quickly i.e. 801444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/522, 392/860, 376/584 is 801444.

LCM(696/522, 392/860, 376/584) = 801444

LCM of 696/522, 392/860, 376/584

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 696/522,392/860,376/584

Given numbers are 696/522,392/860,376/584

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 696,392,376

Least Common Multiple of Numerators i.e. LCM of 696,392,376 is 1602888.

GCF of Denominators means GCF of 522,860,584 as per the given fractions.

GCF of 522,860,584 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,392,376

LCM of Fractions 696/522,392/860,376/584 is 801444

2 696, 392, 376
2 348, 196, 188
2 174, 98, 94
87, 49, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 87 x 49 x 47 = 1602888

Least Common Multiple of 696,392,376 with GCF Formula

Least Common Multiple of 696,392,376 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 696,392,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,392,376) = 8

common factors(in case of two or more numbers have common factors) = 8

GCF(696,392,376) x common factors =8 x 8 = 64

LCM(696,392,376) = ( 696 × 392 × 376 ) / 64

LCM(696,392,376) = 102584832 / 64

LCM(696,392,376) = 1602888


Lets's calculate GCF of 522,860,584

2 522, 860, 584
261, 430, 292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1602888/2

Therefore the LCM of Fractions 696/522,392/860,376/584 is 801444

Greatest Common Factor of 522,860,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,860,584 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 522,860,584 . The biggest common factor number is the GCF number.
So the greatest common factor 522,860,584 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 696/522, 392/860, 376/584

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 696/522, 392/860, 376/584?

Answer: LCM of Numerators as per given numbers 696/522, 392/860, 376/584 is

LCM of Numerators i.e. for 696,392,376 is 1602888

GCF of denominators i.e. for 522,860,584 is 2.

Thus, LCM of Fractions is 801444.Finally, LCM of Fractions for 696/522, 392/860, 376/584 is 801444.