Given numbers are 777,742,144,351,735

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

The LCM of 777,742,144,351,735 is 2698179120.

Find LCM of 777,742,144,351,735 with Prime Factorization

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

2 x 3 x 3 x 7 x 37 x 53 x 8 x 39 x 35 = 2698179120

Therefore, the lowest common multiple of 777,742,144,351,735 is 2698179120.

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 742 x 144 x 351 x 735 = 21418145854560

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,742,144,351,735, is 1.

Now, the common factors can be found like this.

777:3x 7x 37

742:2x 7x 53

144:2x 2x 2x 2x 3x 3

351:3x 3x 3x 13

735:3x 5x 7x 7

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

2x 3x 3x 3x 3x 7x 7 = 7938

Therefore, the value for common factors is 7938.

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 = 21418145854560/(1x7938)

LCM = 21418145854560/7938

LCM = 2698179120

Thus, we can understand that the LCM of 777,742,144,351,735 is 2698179120.

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

• LCM of 834, 245, 271, 722, 967
• LCM of 312, 689, 320, 109, 550
• LCM of 428, 788, 341, 407, 833
• LCM of 145, 885, 922, 436, 864
• LCM of 155, 824, 609, 633, 522

1. What is the LCM of 777, 742, 144, 351, 735?

Answer: LCM of 777, 742, 144, 351, 735 is 2698179120.

2. How to calculate the LCM of 777, 742, 144, 351, 735?

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, 742, 144, 351, 735.

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}.