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LCM of 726, 767, 143, 238

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 726, 767, 143, 238 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 726, 767, 143, 238. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,767,143,238

Given numbers are 726,767,143,238

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 726,767,143,238 is 66264198.

Find LCM of 726,767,143,238 with Prime Factorization


2 726, 767, 143, 238
11 363, 767, 143, 119
13 33, 767, 13, 119
33, 59, 1, 119

Multiply the prime numbers at the bottom and the left side.

2 x 11 x 13 x 33 x 59 x 1 x 119 = 66264198

Therefore, the lowest common multiple of 726,767,143,238 is 66264198.

LCM Formula to Find Lowest Common Multiple of 726,767,143,238

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

726 x 767 x 143 x 238 = 18951560628

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

767 : 1, 13, 59, 767

143 : 1, 11, 13, 143

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,767,143,238, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

767:13x 59

143:11x 13

238:2x 7x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11x 13 = 286

Therefore, the value for common factors is 286.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 18951560628/(1x286)

LCM = 18951560628/286

LCM = 66264198

Thus, we can understand that the LCM of 726,767,143,238 is 66264198.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 767, 143, 238

1. What is the LCM of 726, 767, 143, 238?

Answer: LCM of 726, 767, 143, 238 is 66264198.

2. How to calculate the LCM of 726, 767, 143, 238?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 726, 767, 143, 238.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.