Given numbers are 101,468,465,536,774

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

The LCM of 101,468,465,536,774 is 42215523480.

Find LCM of 101,468,465,536,774 with Prime Factorization

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

2 x 2 x 3 x 3 x 101 x 13 x 155 x 134 x 43 = 42215523480

Therefore, the lowest common multiple of 101,468,465,536,774 is 42215523480.

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.

101 x 468 x 465 x 536 x 774 = 9118553071680

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.

101 : 1, 101

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

465 : 1, 3, 5, 15, 31, 93, 155, 465

536 : 1, 2, 4, 8, 67, 134, 268, 536

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,468,465,536,774, is 1.

Now, the common factors can be found like this.

101:101

468:2x 2x 3x 3x 13

465:3x 5x 31

536:2x 2x 2x 67

774:2x 3x 3x 43

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 9118553071680/(1x216)

LCM = 9118553071680/216

LCM = 42215523480

Thus, we can understand that the LCM of 101,468,465,536,774 is 42215523480.

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

• LCM of 233, 525, 801, 896, 129
• LCM of 681, 937, 786, 345, 566
• LCM of 532, 916, 794, 115, 161
• LCM of 137, 699, 399, 635, 914
• LCM of 853, 778, 876, 336, 641

1. What is the LCM of 101, 468, 465, 536, 774?

Answer: LCM of 101, 468, 465, 536, 774 is 42215523480.

2. How to calculate the LCM of 101, 468, 465, 536, 774?

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 101, 468, 465, 536, 774.

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}.