Given numbers are 420,336,774,154,638

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

The LCM of 420,336,774,154,638 is 69133680.

Find LCM of 420,336,774,154,638 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 5 x 4 x 129 x 1 x 29 = 69133680

Therefore, the lowest common multiple of 420,336,774,154,638 is 69133680.

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 336 x 774 x 154 x 638 = 10731759413760

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

154 : 1, 2, 7, 11, 14, 22, 77, 154

638 : 1, 2, 11, 22, 29, 58, 319, 638

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,336,774,154,638, is 2.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

336:2x 2x 2x 2x 3x 7

774:2x 3x 3x 43

154:2x 7x 11

638:2x 11x 29

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 2x 3x 3x 7x 7x 11 = 77616

Therefore, the value for common factors is 77616.

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 = 10731759413760/(2x77616)

LCM = 10731759413760/155232

LCM = 69133680

Thus, we can understand that the LCM of 420,336,774,154,638 is 69133680.

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

• LCM of 328, 861, 107, 645, 536
• LCM of 794, 429, 202, 580, 205
• LCM of 424, 737, 499, 738, 208
• LCM of 359, 792, 110, 373, 535
• LCM of 604, 242, 543, 298, 981

1. What is the LCM of 420, 336, 774, 154, 638?

Answer: LCM of 420, 336, 774, 154, 638 is 69133680.

2. How to calculate the LCM of 420, 336, 774, 154, 638?

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, 336, 774, 154, 638.

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}.