Given numbers are 769,235,402,714

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

The LCM of 769,235,402,714 is 8645044170.

Find LCM of 769,235,402,714 with Prime Factorization

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

2 x 3 x 769 x 235 x 67 x 119 = 8645044170

Therefore, the lowest common multiple of 769,235,402,714 is 8645044170.

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.

769 x 235 x 402 x 714 = 51870265020

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.

769 : 1, 769

235 : 1, 5, 47, 235

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

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 769,235,402,714, is 1.

Now, the common factors can be found like this.

769:769

235:5x 47

402:2x 3x 67

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 3 = 6

Therefore, the value for common factors is 6.

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 = 51870265020/(1x6)

LCM = 51870265020/6

LCM = 8645044170

Thus, we can understand that the LCM of 769,235,402,714 is 8645044170.

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

• LCM of 229, 315, 763, 458
• LCM of 853, 353, 228, 630
• LCM of 760, 380, 997, 275
• LCM of 563, 780, 244, 200
• LCM of 581, 778, 602, 507

1. What is the LCM of 769, 235, 402, 714?

Answer: LCM of 769, 235, 402, 714 is 8645044170.

2. How to calculate the LCM of 769, 235, 402, 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 769, 235, 402, 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}.