Given numbers are 643,735,182,161

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

The LCM of 643,735,182,161 is 282617790.

Find LCM of 643,735,182,161 with Prime Factorization

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

7 x 643 x 105 x 26 x 23 = 282617790

Therefore, the lowest common multiple of 643,735,182,161 is 282617790.

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.

643 x 735 x 182 x 161 = 13848271710

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.

643 : 1, 643

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,735,182,161, is 1.

Now, the common factors can be found like this.

643:643

735:3x 5x 7x 7

182:2x 7x 13

161:7x 23

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 13848271710/(1x49)

LCM = 13848271710/49

LCM = 282617790

Thus, we can understand that the LCM of 643,735,182,161 is 282617790.

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

• LCM of 960, 426, 924, 535
• LCM of 178, 800, 827, 138
• LCM of 614, 402, 231, 710
• LCM of 839, 733, 827, 707
• LCM of 173, 566, 160, 528

1. What is the LCM of 643, 735, 182, 161?

Answer: LCM of 643, 735, 182, 161 is 282617790.

2. How to calculate the LCM of 643, 735, 182, 161?

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 643, 735, 182, 161.

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}.