Given numbers are 779,322,714,490,769

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

The LCM of 779,322,714,490,769 is 344316543270.

Find LCM of 779,322,714,490,769 with Prime Factorization

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

2 x 7 x 779 x 23 x 51 x 35 x 769 = 344316543270

Therefore, the lowest common multiple of 779,322,714,490,769 is 344316543270.

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.

779 x 322 x 714 x 490 x 769 = 67486042480920

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.

779 : 1, 19, 41, 779

322 : 1, 2, 7, 14, 23, 46, 161, 322

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,322,714,490,769, is 1.

Now, the common factors can be found like this.

779:19x 41

322:2x 7x 23

714:2x 3x 7x 17

490:2x 5x 7x 7

769:769

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 7x 7 = 196

Therefore, the value for common factors is 196.

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 = 67486042480920/(1x196)

LCM = 67486042480920/196

LCM = 344316543270

Thus, we can understand that the LCM of 779,322,714,490,769 is 344316543270.

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

• LCM of 357, 955, 150, 928, 429
• LCM of 671, 651, 774, 421, 978
• LCM of 643, 386, 116, 284, 256
• LCM of 321, 993, 156, 898, 296
• LCM of 607, 284, 156, 572, 107

1. What is the LCM of 779, 322, 714, 490, 769?

Answer: LCM of 779, 322, 714, 490, 769 is 344316543270.

2. How to calculate the LCM of 779, 322, 714, 490, 769?

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 779, 322, 714, 490, 769.

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}.