Least Common Multiple of 74/570, 532/888, 256/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/570, 532/888, 256/698 quickly i.e. 629888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/570, 532/888, 256/698 is 629888.

LCM(74/570, 532/888, 256/698) = 629888

LCM of 74/570, 532/888, 256/698

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 74/570,532/888,256/698

Given numbers are 74/570,532/888,256/698

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 74,532,256

Least Common Multiple of Numerators i.e. LCM of 74,532,256 is 1259776.

GCF of Denominators means GCF of 570,888,698 as per the given fractions.

GCF of 570,888,698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,532,256

LCM of Fractions 74/570,532/888,256/698 is 629888

2 74, 532, 256
2 37, 266, 128
37, 133, 64

∴ So the LCM of the given numbers is 2 x 2 x 37 x 133 x 64 = 1259776

Least Common Multiple of 74,532,256 with GCF Formula

Least Common Multiple of 74,532,256 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 74,532,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,532,256) = 2

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

GCF(74,532,256) x common factors =2 x 4 = 8

LCM(74,532,256) = ( 74 × 532 × 256 ) / 8

LCM(74,532,256) = 10078208 / 8

LCM(74,532,256) = 1259776


Lets's calculate GCF of 570,888,698

2 570, 888, 698
285, 444, 349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1259776/2

Therefore the LCM of Fractions 74/570,532/888,256/698 is 629888

Greatest Common Factor of 570,888,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,888,698 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 570,888,698 . The biggest common factor number is the GCF number.
So the greatest common factor 570,888,698 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 74/570, 532/888, 256/698

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 74/570, 532/888, 256/698?

Answer: LCM of Numerators as per given numbers 74/570, 532/888, 256/698 is

LCM of Numerators i.e. for 74,532,256 is 1259776

GCF of denominators i.e. for 570,888,698 is 2.

Thus, LCM of Fractions is 629888.Finally, LCM of Fractions for 74/570, 532/888, 256/698 is 629888.