Given numbers are 402,505,737,921,747

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

The LCM of 402,505,737,921,747 is 170705627730.

Find LCM of 402,505,737,921,747 with Prime Factorization

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

3 x 67 x 2 x 505 x 11 x 307 x 249 = 170705627730

Therefore, the lowest common multiple of 402,505,737,921,747 is 170705627730.

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.

402 x 505 x 737 x 921 x 747 = 102935493521190

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

505 : 1, 5, 101, 505

737 : 1, 11, 67, 737

921 : 1, 3, 307, 921

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,505,737,921,747, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

505:5x 101

737:11x 67

921:3x 307

747:3x 3x 83

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

3x 3x 67 = 603

Therefore, the value for common factors is 603.

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 = 102935493521190/(1x603)

LCM = 102935493521190/603

LCM = 170705627730

Thus, we can understand that the LCM of 402,505,737,921,747 is 170705627730.

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

• LCM of 289, 665, 740, 512, 835
• LCM of 716, 934, 462, 892, 186
• LCM of 993, 414, 913, 606, 980
• LCM of 958, 243, 624, 560, 225
• LCM of 520, 540, 819, 137, 717

1. What is the LCM of 402, 505, 737, 921, 747?

Answer: LCM of 402, 505, 737, 921, 747 is 170705627730.

2. How to calculate the LCM of 402, 505, 737, 921, 747?

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 402, 505, 737, 921, 747.

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}.