Given numbers are 777,539,672,288,369

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

The LCM of 777,539,672,288,369 is 235486944.

Find LCM of 777,539,672,288,369 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 37 x 77 x 1 x 1 x 41 = 235486944

Therefore, the lowest common multiple of 777,539,672,288,369 is 235486944.

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.

777 x 539 x 672 x 288 x 369 = 29908725783552

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.

777 : 1, 3, 7, 21, 37, 111, 259, 777

539 : 1, 7, 11, 49, 77, 539

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

369 : 1, 3, 9, 41, 123, 369

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,539,672,288,369, is 1.

Now, the common factors can be found like this.

777:3x 7x 37

539:7x 7x 11

672:2x 2x 2x 2x 2x 3x 7

288:2x 2x 2x 2x 2x 3x 3

369:3x 3x 41

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 2x 2x 2x 3x 3x 3x 3x 7x 7 = 127008

Therefore, the value for common factors is 127008.

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 = 29908725783552/(1x127008)

LCM = 29908725783552/127008

LCM = 235486944

Thus, we can understand that the LCM of 777,539,672,288,369 is 235486944.

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

• LCM of 666, 324, 268, 607, 208
• LCM of 215, 795, 897, 397, 296
• LCM of 980, 761, 615, 836, 393
• LCM of 405, 646, 971, 368, 144
• LCM of 522, 186, 797, 595, 855

1. What is the LCM of 777, 539, 672, 288, 369?

Answer: LCM of 777, 539, 672, 288, 369 is 235486944.

2. How to calculate the LCM of 777, 539, 672, 288, 369?

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 777, 539, 672, 288, 369.

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}.