Given numbers are 742,677,578,136

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

The LCM of 742,677,578,136 is 580698104.

Find LCM of 742,677,578,136 with Prime Factorization

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

2 x 17 x 371 x 677 x 17 x 4 = 580698104

Therefore, the lowest common multiple of 742,677,578,136 is 580698104.

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.

742 x 677 x 578 x 136 = 39487471072

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

677 : 1, 677

578 : 1, 2, 17, 34, 289, 578

136 : 1, 2, 4, 8, 17, 34, 68, 136

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,677,578,136, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

677:677

578:2x 17x 17

136:2x 2x 2x 17

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 17 = 68

Therefore, the value for common factors is 68.

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 = 39487471072/(1x68)

LCM = 39487471072/68

LCM = 580698104

Thus, we can understand that the LCM of 742,677,578,136 is 580698104.

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

• LCM of 788, 542, 643, 347
• LCM of 613, 112, 705, 189
• LCM of 554, 455, 968, 905
• LCM of 759, 388, 514, 170
• LCM of 534, 909, 158, 959

1. What is the LCM of 742, 677, 578, 136?

Answer: LCM of 742, 677, 578, 136 is 580698104.

2. How to calculate the LCM of 742, 677, 578, 136?

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 742, 677, 578, 136.

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}.