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LCM of 573, 542, 417, 278

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


Find the LCM of 573, 542, 417, 278 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 573, 542, 417, 278. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 573,542,417,278

Given numbers are 573,542,417,278

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

The LCM of 573,542,417,278 is 43168674.

Find LCM of 573,542,417,278 with Prime Factorization


2 573, 542, 417, 278
3 573, 271, 417, 139
139 191, 271, 139, 139
191, 271, 1, 1

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

2 x 3 x 139 x 191 x 271 x 1 x 1 = 43168674

Therefore, the lowest common multiple of 573,542,417,278 is 43168674.

LCM Formula to Find Lowest Common Multiple of 573,542,417,278

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.

573 x 542 x 417 x 278 = 36002674116

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.

573 : 1, 3, 191, 573

542 : 1, 2, 271, 542

417 : 1, 3, 139, 417

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,542,417,278, is 1.

Now, the common factors can be found like this.

573:3x 191

542:2x 271

417:3x 139

278:2x 139

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

2x 3x 139 = 834

Therefore, the value for common factors is 834.

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 = 36002674116/(1x834)

LCM = 36002674116/834

LCM = 43168674

Thus, we can understand that the LCM of 573,542,417,278 is 43168674.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 573, 542, 417, 278

1. What is the LCM of 573, 542, 417, 278?

Answer: LCM of 573, 542, 417, 278 is 43168674.

2. How to calculate the LCM of 573, 542, 417, 278?

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 573, 542, 417, 278.

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}.