Given numbers are 257,544,946,620,742

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

The LCM of 257,544,946,620,742 is 3802758725920.

Find LCM of 257,544,946,620,742 with Prime Factorization

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

2 x 2 x 257 x 136 x 473 x 155 x 371 = 3802758725920

Therefore, the lowest common multiple of 257,544,946,620,742 is 3802758725920.

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.

257 x 544 x 946 x 620 x 742 = 60844139614720

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.

257 : 1, 257

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

946 : 1, 2, 11, 22, 43, 86, 473, 946

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,544,946,620,742, is 1.

Now, the common factors can be found like this.

257:257

544:2x 2x 2x 2x 2x 17

946:2x 11x 43

620:2x 2x 5x 31

742:2x 7x 53

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 2 = 16

Therefore, the value for common factors is 16.

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 = 60844139614720/(1x16)

LCM = 60844139614720/16

LCM = 3802758725920

Thus, we can understand that the LCM of 257,544,946,620,742 is 3802758725920.

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

• LCM of 947, 553, 930, 825, 383
• LCM of 966, 415, 168, 388, 598
• LCM of 940, 729, 254, 468, 524
• LCM of 978, 789, 335, 989, 511
• LCM of 867, 444, 240, 530, 479

1. What is the LCM of 257, 544, 946, 620, 742?

Answer: LCM of 257, 544, 946, 620, 742 is 3802758725920.

2. How to calculate the LCM of 257, 544, 946, 620, 742?

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 257, 544, 946, 620, 742.

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}.