Given numbers are 690,402,745,901,714

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

The LCM of 690,402,745,901,714 is 43444318890.

Find LCM of 690,402,745,901,714 with Prime Factorization

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

2 x 3 x 5 x 17 x 23 x 67 x 149 x 53 x 7 = 43444318890

Therefore, the lowest common multiple of 690,402,745,901,714 is 43444318890.

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.

690 x 402 x 745 x 901 x 714 = 132939615803400

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.

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

745 : 1, 5, 149, 745

901 : 1, 17, 53, 901

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,402,745,901,714, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

402:2x 3x 67

745:5x 149

901:17x 53

714:2x 3x 7x 17

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 5x 17 = 3060

Therefore, the value for common factors is 3060.

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 = 132939615803400/(1x3060)

LCM = 132939615803400/3060

LCM = 43444318890

Thus, we can understand that the LCM of 690,402,745,901,714 is 43444318890.

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

• LCM of 538, 284, 945, 242, 478
• LCM of 414, 784, 475, 150, 321
• LCM of 613, 245, 802, 992, 799
• LCM of 694, 821, 508, 371, 563
• LCM of 938, 570, 582, 855, 856

1. What is the LCM of 690, 402, 745, 901, 714?

Answer: LCM of 690, 402, 745, 901, 714 is 43444318890.

2. How to calculate the LCM of 690, 402, 745, 901, 714?

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 690, 402, 745, 901, 714.

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}.