Given numbers are 742,715,480,229

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

The LCM of 742,715,480,229 is 5831585760.

Find LCM of 742,715,480,229 with Prime Factorization

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

2 x 5 x 371 x 143 x 48 x 229 = 5831585760

Therefore, the lowest common multiple of 742,715,480,229 is 5831585760.

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 715 x 480 x 229 = 58315857600

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

229 : 1, 229

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,715,480,229, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

715:5x 11x 13

480:2x 2x 2x 2x 2x 3x 5

229:229

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 58315857600/(1x10)

LCM = 58315857600/10

LCM = 5831585760

Thus, we can understand that the LCM of 742,715,480,229 is 5831585760.

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

• LCM of 216, 413, 592, 464
• LCM of 835, 295, 600, 359
• LCM of 841, 213, 535, 214
• LCM of 472, 656, 457, 760
• LCM of 376, 554, 682, 960

1. What is the LCM of 742, 715, 480, 229?

Answer: LCM of 742, 715, 480, 229 is 5831585760.

2. How to calculate the LCM of 742, 715, 480, 229?

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, 715, 480, 229.

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}.