Given numbers are 361,735,762,701

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

The LCM of 361,735,762,701 is 47243958090.

Find LCM of 361,735,762,701 with Prime Factorization

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

3 x 361 x 245 x 254 x 701 = 47243958090

Therefore, the lowest common multiple of 361,735,762,701 is 47243958090.

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.

361 x 735 x 762 x 701 = 141731874270

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.

361 : 1, 19, 361

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

762 : 1, 2, 3, 6, 127, 254, 381, 762

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,735,762,701, is 1.

Now, the common factors can be found like this.

361:19x 19

735:3x 5x 7x 7

762:2x 3x 127

701:701

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

3 = 3

Therefore, the value for common factors is 3.

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 = 141731874270/(1x3)

LCM = 141731874270/3

LCM = 47243958090

Thus, we can understand that the LCM of 361,735,762,701 is 47243958090.

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

• LCM of 972, 188, 317, 287
• LCM of 175, 568, 506, 728
• LCM of 776, 502, 797, 755
• LCM of 169, 557, 774, 261
• LCM of 572, 481, 375, 997

1. What is the LCM of 361, 735, 762, 701?

Answer: LCM of 361, 735, 762, 701 is 47243958090.

2. How to calculate the LCM of 361, 735, 762, 701?

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 361, 735, 762, 701.

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}.