Given numbers are 278,513,628,430,371

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

The LCM of 278,513,628,430,371 is 3571940192940.

Find LCM of 278,513,628,430,371 with Prime Factorization

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

2 x 139 x 513 x 314 x 215 x 371 = 3571940192940

Therefore, the lowest common multiple of 278,513,628,430,371 is 3571940192940.

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.

278 x 513 x 628 x 430 x 371 = 14287760771760

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.

278 : 1, 2, 139, 278

513 : 1, 3, 9, 19, 27, 57, 171, 513

628 : 1, 2, 4, 157, 314, 628

430 : 1, 2, 5, 10, 43, 86, 215, 430

371 : 1, 7, 53, 371

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,513,628,430,371, is 1.

Now, the common factors can be found like this.

278:2x 139

513:3x 3x 3x 19

628:2x 2x 157

430:2x 5x 43

371:7x 53

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 14287760771760/(1x4)

LCM = 14287760771760/4

LCM = 3571940192940

Thus, we can understand that the LCM of 278,513,628,430,371 is 3571940192940.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 233, 566, 547, 807, 754
• LCM of 526, 144, 345, 101, 991
• LCM of 187, 167, 584, 130, 757
• LCM of 820, 640, 657, 622, 582
• LCM of 443, 974, 157, 308, 165

1. What is the LCM of 278, 513, 628, 430, 371?

Answer: LCM of 278, 513, 628, 430, 371 is 3571940192940.

2. How to calculate the LCM of 278, 513, 628, 430, 371?

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 278, 513, 628, 430, 371.

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}.