Given numbers are 420,941,561,351,392

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

The LCM of 420,941,561,351,392 is 121058257320.

Find LCM of 420,941,561,351,392 with Prime Factorization

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

2 x 2 x 3 x 7 x 5 x 941 x 187 x 117 x 14 = 121058257320

Therefore, the lowest common multiple of 420,941,561,351,392 is 121058257320.

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.

420 x 941 x 561 x 351 x 392 = 30506680844640

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.

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

941 : 1, 941

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,941,561,351,392, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

941:941

561:3x 11x 17

351:3x 3x 3x 13

392:2x 2x 2x 7x 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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 30506680844640/(1x252)

LCM = 30506680844640/252

LCM = 121058257320

Thus, we can understand that the LCM of 420,941,561,351,392 is 121058257320.

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

• LCM of 668, 389, 993, 864, 257
• LCM of 377, 255, 358, 967, 872
• LCM of 595, 901, 135, 847, 308
• LCM of 216, 429, 945, 996, 272
• LCM of 222, 476, 813, 489, 492

1. What is the LCM of 420, 941, 561, 351, 392?

Answer: LCM of 420, 941, 561, 351, 392 is 121058257320.

2. How to calculate the LCM of 420, 941, 561, 351, 392?

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 420, 941, 561, 351, 392.

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}.