Given numbers are 940,502,545,402,208

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

The LCM of 940,502,545,402,208 is 268798891920.

Find LCM of 940,502,545,402,208 with Prime Factorization

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

2 x 2 x 5 x 47 x 251 x 109 x 201 x 52 = 268798891920

Therefore, the lowest common multiple of 940,502,545,402,208 is 268798891920.

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.

940 x 502 x 545 x 402 x 208 = 21503911353600

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.

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

502 : 1, 2, 251, 502

545 : 1, 5, 109, 545

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,502,545,402,208, is 1.

Now, the common factors can be found like this.

940:2x 2x 5x 47

502:2x 251

545:5x 109

402:2x 3x 67

208:2x 2x 2x 2x 13

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 2x 5 = 80

Therefore, the value for common factors is 80.

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 = 21503911353600/(1x80)

LCM = 21503911353600/80

LCM = 268798891920

Thus, we can understand that the LCM of 940,502,545,402,208 is 268798891920.

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

• LCM of 751, 563, 197, 849, 959
• LCM of 258, 766, 320, 846, 218
• LCM of 424, 194, 383, 782, 839
• LCM of 544, 802, 751, 383, 170
• LCM of 488, 506, 230, 419, 341

1. What is the LCM of 940, 502, 545, 402, 208?

Answer: LCM of 940, 502, 545, 402, 208 is 268798891920.

2. How to calculate the LCM of 940, 502, 545, 402, 208?

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 940, 502, 545, 402, 208.

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}.