Given numbers are 452,714,690,414

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

The LCM of 452,714,690,414 is 55670580.

Find LCM of 452,714,690,414 with Prime Factorization

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

2 x 3 x 23 x 226 x 119 x 5 x 3 = 55670580

Therefore, the lowest common multiple of 452,714,690,414 is 55670580.

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.

452 x 714 x 690 x 414 = 92190480480

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.

452 : 1, 2, 4, 113, 226, 452

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,714,690,414, is 2.

Now, the common factors can be found like this.

452:2x 2x 113

714:2x 3x 7x 17

690:2x 3x 5x 23

414:2x 3x 3x 23

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 3x 23 = 828

Therefore, the value for common factors is 828.

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 = 92190480480/(2x828)

LCM = 92190480480/1656

LCM = 55670580

Thus, we can understand that the LCM of 452,714,690,414 is 55670580.

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

• LCM of 578, 137, 966, 571
• LCM of 436, 746, 234, 806
• LCM of 956, 594, 151, 495
• LCM of 146, 243, 718, 658
• LCM of 851, 815, 222, 514

1. What is the LCM of 452, 714, 690, 414?

Answer: LCM of 452, 714, 690, 414 is 55670580.

2. How to calculate the LCM of 452, 714, 690, 414?

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 452, 714, 690, 414.

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}.