Given numbers are 757,742,104,636,142

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

The LCM of 757,742,104,636,142 is 6221322744.

Find LCM of 757,742,104,636,142 with Prime Factorization

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

2 x 2 x 53 x 757 x 7 x 26 x 3 x 71 = 6221322744

Therefore, the lowest common multiple of 757,742,104,636,142 is 6221322744.

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.

757 x 742 x 104 x 636 x 142 = 5275681686912

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.

757 : 1, 757

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,742,104,636,142, is 1.

Now, the common factors can be found like this.

757:757

742:2x 7x 53

104:2x 2x 2x 13

636:2x 2x 3x 53

142:2x 71

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 53 = 848

Therefore, the value for common factors is 848.

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 = 5275681686912/(1x848)

LCM = 5275681686912/848

LCM = 6221322744

Thus, we can understand that the LCM of 757,742,104,636,142 is 6221322744.

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

• LCM of 587, 672, 964, 949, 761
• LCM of 148, 695, 323, 112, 370
• LCM of 166, 978, 906, 256, 897
• LCM of 435, 253, 806, 834, 514
• LCM of 135, 940, 963, 960, 454

1. What is the LCM of 757, 742, 104, 636, 142?

Answer: LCM of 757, 742, 104, 636, 142 is 6221322744.

2. How to calculate the LCM of 757, 742, 104, 636, 142?

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 757, 742, 104, 636, 142.

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}.