Given numbers are 702,524,940,416

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

The LCM of 702,524,940,416 is 345777120.

Find LCM of 702,524,940,416 with Prime Factorization

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

2 x 2 x 13 x 27 x 131 x 235 x 8 = 345777120

Therefore, the lowest common multiple of 702,524,940,416 is 345777120.

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 524 x 940 x 416 = 143843281920

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

524 : 1, 2, 4, 131, 262, 524

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,524,940,416, is 2.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

524:2x 2x 131

940:2x 2x 5x 47

416:2x 2x 2x 2x 2x 13

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 13 = 208

Therefore, the value for common factors is 208.

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 = 143843281920/(2x208)

LCM = 143843281920/416

LCM = 345777120

Thus, we can understand that the LCM of 702,524,940,416 is 345777120.

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

• LCM of 157, 940, 202, 181
• LCM of 302, 600, 525, 105
• LCM of 843, 471, 223, 445
• LCM of 981, 568, 261, 543
• LCM of 790, 369, 824, 980

1. What is the LCM of 702, 524, 940, 416?

Answer: LCM of 702, 524, 940, 416 is 345777120.

2. How to calculate the LCM of 702, 524, 940, 416?

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, 524, 940, 416.

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}.