Given numbers are 769,378,275,339,829

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

The LCM of 769,378,275,339,829 is 7488309871350.

Find LCM of 769,378,275,339,829 with Prime Factorization

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

3 x 769 x 126 x 275 x 113 x 829 = 7488309871350

Therefore, the lowest common multiple of 769,378,275,339,829 is 7488309871350.

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 378 x 275 x 339 x 829 = 22464929614050

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

275 : 1, 5, 11, 25, 55, 275

339 : 1, 3, 113, 339

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,378,275,339,829, is 1.

Now, the common factors can be found like this.

769:769

378:2x 3x 3x 3x 7

275:5x 5x 11

339:3x 113

829:829

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 22464929614050/(1x3)

LCM = 22464929614050/3

LCM = 7488309871350

Thus, we can understand that the LCM of 769,378,275,339,829 is 7488309871350.

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

• LCM of 639, 989, 993, 714, 883
• LCM of 558, 227, 682, 143, 195
• LCM of 614, 585, 881, 797, 563
• LCM of 500, 780, 196, 178, 657
• LCM of 307, 680, 469, 810, 502

1. What is the LCM of 769, 378, 275, 339, 829?

Answer: LCM of 769, 378, 275, 339, 829 is 7488309871350.

2. How to calculate the LCM of 769, 378, 275, 339, 829?

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, 378, 275, 339, 829.

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}.