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LCM of 361, 750, 278, 722

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


Find the LCM of 361, 750, 278, 722 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 361, 750, 278, 722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,750,278,722

Given numbers are 361,750,278,722

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

The LCM of 361,750,278,722 is 37634250.

Find LCM of 361,750,278,722 with Prime Factorization


2 361, 750, 278, 722
19 361, 375, 139, 361
19 19, 375, 139, 19
1, 375, 139, 1

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

2 x 19 x 19 x 1 x 375 x 139 x 1 = 37634250

Therefore, the lowest common multiple of 361,750,278,722 is 37634250.

LCM Formula to Find Lowest Common Multiple of 361,750,278,722

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.

361 x 750 x 278 x 722 = 54343857000

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.

361 : 1, 19, 361

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

278 : 1, 2, 139, 278

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,750,278,722, is 1.

Now, the common factors can be found like this.

361:19x 19

750:2x 3x 5x 5x 5

278:2x 139

722:2x 19x 19

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

2x 2x 19x 19 = 1444

Therefore, the value for common factors is 1444.

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 = 54343857000/(1x1444)

LCM = 54343857000/1444

LCM = 37634250

Thus, we can understand that the LCM of 361,750,278,722 is 37634250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 750, 278, 722

1. What is the LCM of 361, 750, 278, 722?

Answer: LCM of 361, 750, 278, 722 is 37634250.

2. How to calculate the LCM of 361, 750, 278, 722?

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 361, 750, 278, 722.

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}.