Given numbers are 278,561,358,926,420

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

The LCM of 278,561,358,926,420 is 904773181620.

Find LCM of 278,561,358,926,420 with Prime Factorization

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

2 x 3 x 139 x 187 x 179 x 463 x 70 = 904773181620

Therefore, the lowest common multiple of 278,561,358,926,420 is 904773181620.

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 561 x 358 x 926 x 420 = 21714556358880

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

561 : 1, 3, 11, 17, 33, 51, 187, 561

358 : 1, 2, 179, 358

926 : 1, 2, 463, 926

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,561,358,926,420, is 1.

Now, the common factors can be found like this.

278:2x 139

561:3x 11x 17

358:2x 179

926:2x 463

420:2x 2x 3x 5x 7

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 21714556358880/(1x24)

LCM = 21714556358880/24

LCM = 904773181620

Thus, we can understand that the LCM of 278,561,358,926,420 is 904773181620.

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

• LCM of 655, 148, 385, 881, 122
• LCM of 511, 345, 346, 940, 539
• LCM of 848, 973, 879, 500, 292
• LCM of 985, 423, 176, 488, 121
• LCM of 331, 498, 811, 318, 175

1. What is the LCM of 278, 561, 358, 926, 420?

Answer: LCM of 278, 561, 358, 926, 420 is 904773181620.

2. How to calculate the LCM of 278, 561, 358, 926, 420?

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, 561, 358, 926, 420.

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}.