Given numbers are 702,275,154,319,480

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

The LCM of 702,275,154,319,480 is 627026400.

Find LCM of 702,275,154,319,480 with Prime Factorization

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

2 x 3 x 5 x 11 x 117 x 5 x 7 x 29 x 16 = 627026400

Therefore, the lowest common multiple of 702,275,154,319,480 is 627026400.

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.

702 x 275 x 154 x 319 x 480 = 4552211664000

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

275 : 1, 5, 11, 25, 55, 275

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

319 : 1, 11, 29, 319

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,275,154,319,480, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

275:5x 5x 11

154:2x 7x 11

319:11x 29

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

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 3x 5x 11x 11 = 7260

Therefore, the value for common factors is 7260.

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 = 4552211664000/(1x7260)

LCM = 4552211664000/7260

LCM = 627026400

Thus, we can understand that the LCM of 702,275,154,319,480 is 627026400.

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

• LCM of 123, 174, 270, 142, 958
• LCM of 636, 280, 131, 724, 453
• LCM of 563, 561, 415, 627, 882
• LCM of 661, 808, 477, 563, 200
• LCM of 144, 711, 959, 444, 769

1. What is the LCM of 702, 275, 154, 319, 480?

Answer: LCM of 702, 275, 154, 319, 480 is 627026400.

2. How to calculate the LCM of 702, 275, 154, 319, 480?

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 702, 275, 154, 319, 480.

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}.