Given numbers are 769,936,546,743

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

The LCM of 769,936,546,743 is 3743596584.

Find LCM of 769,936,546,743 with Prime Factorization

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

2 x 3 x 13 x 769 x 12 x 7 x 743 = 3743596584

Therefore, the lowest common multiple of 769,936,546,743 is 3743596584.

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 936 x 546 x 743 = 292000533552

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,936,546,743, is 1.

Now, the common factors can be found like this.

769:769

936:2x 2x 2x 3x 3x 13

546:2x 3x 7x 13

743:743

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 13 = 78

Therefore, the value for common factors is 78.

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 = 292000533552/(1x78)

LCM = 292000533552/78

LCM = 3743596584

Thus, we can understand that the LCM of 769,936,546,743 is 3743596584.

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

• LCM of 633, 805, 224, 181
• LCM of 433, 240, 333, 338
• LCM of 477, 867, 988, 700
• LCM of 930, 113, 476, 652
• LCM of 228, 305, 373, 157

1. What is the LCM of 769, 936, 546, 743?

Answer: LCM of 769, 936, 546, 743 is 3743596584.

2. How to calculate the LCM of 769, 936, 546, 743?

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, 936, 546, 743.

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}.