Least Common Multiple of 137/174, 882/651, 668/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 137/174, 882/651, 668/582 quickly i.e. 13452852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 137/174, 882/651, 668/582 is 13452852.

LCM(137/174, 882/651, 668/582) = 13452852

LCM of 137/174, 882/651, 668/582

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 137/174,882/651,668/582

Given numbers are 137/174,882/651,668/582

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 137,882,668

Least Common Multiple of Numerators i.e. LCM of 137,882,668 is 40358556.

GCF of Denominators means GCF of 174,651,582 as per the given fractions.

GCF of 174,651,582 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 137,882,668

LCM of Fractions 137/174,882/651,668/582 is 13452852

2 137, 882, 668
137, 441, 334

∴ So the LCM of the given numbers is 2 x 137 x 441 x 334 = 40358556

Least Common Multiple of 137,882,668 with GCF Formula

Least Common Multiple of 137,882,668 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 137,882,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,882,668) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(137,882,668) x common factors =1 x 2 = 2

LCM(137,882,668) = ( 137 × 882 × 668 ) / 2

LCM(137,882,668) = 80717112 / 2

LCM(137,882,668) = 40358556


Lets's calculate GCF of 174,651,582

3 174, 651, 582
58, 217, 194

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40358556/3

Therefore the LCM of Fractions 137/174,882/651,668/582 is 13452852

Greatest Common Factor of 174,651,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,651,582 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 174,651,582 . The biggest common factor number is the GCF number.
So the greatest common factor 174,651,582 is 3.


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 137/174, 882/651, 668/582

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 137/174, 882/651, 668/582?

Answer: LCM of Numerators as per given numbers 137/174, 882/651, 668/582 is

LCM of Numerators i.e. for 137,882,668 is 40358556

GCF of denominators i.e. for 174,651,582 is 3.

Thus, LCM of Fractions is 13452852.Finally, LCM of Fractions for 137/174, 882/651, 668/582 is 13452852.