Given numbers are 714,208,390,762

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

The LCM of 714,208,390,762 is 47152560.

Find LCM of 714,208,390,762 with Prime Factorization

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

2 x 3 x 13 x 119 x 8 x 5 x 127 = 47152560

Therefore, the lowest common multiple of 714,208,390,762 is 47152560.

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 208 x 390 x 762 = 44134796160

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

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

762 : 1, 2, 3, 6, 127, 254, 381, 762

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,208,390,762, is 2.

Now, the common factors can be found like this.

714:2x 3x 7x 17

208:2x 2x 2x 2x 13

390:2x 3x 5x 13

762:2x 3x 127

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 13 = 468

Therefore, the value for common factors is 468.

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 = 44134796160/(2x468)

LCM = 44134796160/936

LCM = 47152560

Thus, we can understand that the LCM of 714,208,390,762 is 47152560.

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

• LCM of 335, 462, 435, 397
• LCM of 565, 260, 111, 125
• LCM of 557, 693, 423, 414
• LCM of 349, 216, 336, 838
• LCM of 525, 965, 181, 587

1. What is the LCM of 714, 208, 390, 762?

Answer: LCM of 714, 208, 390, 762 is 47152560.

2. How to calculate the LCM of 714, 208, 390, 762?

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, 208, 390, 762.

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}.