Least Common Multiple of 252/320, 738/362, 668/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/320, 738/362, 668/674 quickly i.e. 862722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/320, 738/362, 668/674 is 862722.

LCM(252/320, 738/362, 668/674) = 862722

LCM of 252/320, 738/362, 668/674

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 252/320,738/362,668/674

Given numbers are 252/320,738/362,668/674

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 252,738,668

Least Common Multiple of Numerators i.e. LCM of 252,738,668 is 1725444.

GCF of Denominators means GCF of 320,362,674 as per the given fractions.

GCF of 320,362,674 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,738,668

LCM of Fractions 252/320,738/362,668/674 is 862722

2 252, 738, 668
2 126, 369, 334
3 63, 369, 167
3 21, 123, 167
7, 41, 167

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 41 x 167 = 1725444

Least Common Multiple of 252,738,668 with GCF Formula

Least Common Multiple of 252,738,668 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 252,738,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,738,668) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(252,738,668) x common factors =2 x 36 = 72

LCM(252,738,668) = ( 252 × 738 × 668 ) / 72

LCM(252,738,668) = 124231968 / 72

LCM(252,738,668) = 1725444


Lets's calculate GCF of 320,362,674

2 320, 362, 674
160, 181, 337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1725444/2

Therefore the LCM of Fractions 252/320,738/362,668/674 is 862722

Greatest Common Factor of 320,362,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,362,674 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 320,362,674 . The biggest common factor number is the GCF number.
So the greatest common factor 320,362,674 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 252/320, 738/362, 668/674

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 252/320, 738/362, 668/674?

Answer: LCM of Numerators as per given numbers 252/320, 738/362, 668/674 is

LCM of Numerators i.e. for 252,738,668 is 1725444

GCF of denominators i.e. for 320,362,674 is 2.

Thus, LCM of Fractions is 862722.Finally, LCM of Fractions for 252/320, 738/362, 668/674 is 862722.