Given numbers are 714,657,474,780,102

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

The LCM of 714,657,474,780,102 is 1605878820.

Find LCM of 714,657,474,780,102 with Prime Factorization

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

2 x 3 x 17 x 7 x 219 x 79 x 130 x 1 = 1605878820

Therefore, the lowest common multiple of 714,657,474,780,102 is 1605878820.

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.

714 x 657 x 474 x 780 x 102 = 17690361081120

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.

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

657 : 1, 3, 9, 73, 219, 657

474 : 1, 2, 3, 6, 79, 158, 237, 474

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

102 : 1, 2, 3, 6, 17, 34, 51, 102

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,657,474,780,102, is 3.

Now, the common factors can be found like this.

714:2x 3x 7x 17

657:3x 3x 73

474:2x 3x 79

780:2x 2x 3x 5x 13

102:2x 3x 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 2x 3x 3x 3x 17 = 3672

Therefore, the value for common factors is 3672.

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 = 17690361081120/(3x3672)

LCM = 17690361081120/11016

LCM = 1605878820

Thus, we can understand that the LCM of 714,657,474,780,102 is 1605878820.

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

• LCM of 151, 575, 180, 502, 793
• LCM of 148, 706, 958, 506, 285
• LCM of 101, 940, 310, 613, 176
• LCM of 845, 644, 526, 625, 230
• LCM of 733, 941, 939, 449, 580

1. What is the LCM of 714, 657, 474, 780, 102?

Answer: LCM of 714, 657, 474, 780, 102 is 1605878820.

2. How to calculate the LCM of 714, 657, 474, 780, 102?

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 714, 657, 474, 780, 102.

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}.