Given numbers are 767,164,714

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

The LCM of 767,164,714 is 44906316.

Find LCM of 767,164,714 with Prime Factorization

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

2 x 767 x 82 x 357 = 44906316

Therefore, the lowest common multiple of 767,164,714 is 44906316.

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.

767 x 164 x 714 = 89812632

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.

767 : 1, 13, 59, 767

164 : 1, 2, 4, 41, 82, 164

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 767,164,714, is 1.

Now, the common factors can be found like this.

767:13x 59

164:2x 2x 41

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 89812632/(1x2)

LCM = 89812632/2

LCM = 44906316

Thus, we can understand that the LCM of 767,164,714 is 44906316.

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

• LCM of 948, 826, 494
• LCM of 693, 999, 452
• LCM of 821, 436, 763
• LCM of 475, 604, 169
• LCM of 570, 686, 394

1. What is the LCM of 767, 164, 714?

Answer: LCM of 767, 164, 714 is 44906316.

2. How to calculate the LCM of 767, 164, 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 767, 164, 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}.