Given numbers are 777,576,742,894

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

The LCM of 777,576,742,894 is 1178106048.

Find LCM of 777,576,742,894 with Prime Factorization

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

2 x 3 x 7 x 37 x 96 x 53 x 149 = 1178106048

Therefore, the lowest common multiple of 777,576,742,894 is 1178106048.

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 576 x 742 x 894 = 296882724096

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

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,576,742,894, is 1.

Now, the common factors can be found like this.

777:3x 7x 37

576:2x 2x 2x 2x 2x 2x 3x 3

742:2x 7x 53

894:2x 3x 149

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 296882724096/(1x252)

LCM = 296882724096/252

LCM = 1178106048

Thus, we can understand that the LCM of 777,576,742,894 is 1178106048.

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

• LCM of 389, 846, 309, 730
• LCM of 463, 484, 376, 976
• LCM of 748, 673, 133, 944
• LCM of 767, 143, 644, 150
• LCM of 231, 121, 526, 290

1. What is the LCM of 777, 576, 742, 894?

Answer: LCM of 777, 576, 742, 894 is 1178106048.

2. How to calculate the LCM of 777, 576, 742, 894?

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, 576, 742, 894.

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}.