Given numbers are 742,128,267,771

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

The LCM of 742,128,267,771 is 3258579072.

Find LCM of 742,128,267,771 with Prime Factorization

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

2 x 3 x 371 x 64 x 89 x 257 = 3258579072

Therefore, the lowest common multiple of 742,128,267,771 is 3258579072.

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 128 x 267 x 771 = 19551474432

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

267 : 1, 3, 89, 267

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,128,267,771, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

128:2x 2x 2x 2x 2x 2x 2

267:3x 89

771:3x 257

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 19551474432/(1x6)

LCM = 19551474432/6

LCM = 3258579072

Thus, we can understand that the LCM of 742,128,267,771 is 3258579072.

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

• LCM of 106, 170, 908, 496
• LCM of 678, 158, 937, 552
• LCM of 680, 213, 101, 608
• LCM of 571, 354, 917, 819
• LCM of 561, 920, 944, 227

1. What is the LCM of 742, 128, 267, 771?

Answer: LCM of 742, 128, 267, 771 is 3258579072.

2. How to calculate the LCM of 742, 128, 267, 771?

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, 128, 267, 771.

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}.