Given numbers are 750,278,654,872,338

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

The LCM of 750,278,654,872,338 is 7681557000.

Find LCM of 750,278,654,872,338 with Prime Factorization

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

2 x 3 x 109 x 125 x 139 x 1 x 4 x 169 = 7681557000

Therefore, the lowest common multiple of 750,278,654,872,338 is 7681557000.

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.

750 x 278 x 654 x 872 x 338 = 40189906224000

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.

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

278 : 1, 2, 139, 278

654 : 1, 2, 3, 6, 109, 218, 327, 654

872 : 1, 2, 4, 8, 109, 218, 436, 872

338 : 1, 2, 13, 26, 169, 338

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,278,654,872,338, is 2.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

278:2x 139

654:2x 3x 109

872:2x 2x 2x 109

338:2x 13x 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 3x 109 = 2616

Therefore, the value for common factors is 2616.

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 = 40189906224000/(2x2616)

LCM = 40189906224000/5232

LCM = 7681557000

Thus, we can understand that the LCM of 750,278,654,872,338 is 7681557000.

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

• LCM of 403, 140, 848, 400, 170
• LCM of 653, 289, 117, 807, 411
• LCM of 897, 324, 280, 573, 606
• LCM of 160, 798, 180, 843, 456
• LCM of 145, 626, 771, 759, 424

1. What is the LCM of 750, 278, 654, 872, 338?

Answer: LCM of 750, 278, 654, 872, 338 is 7681557000.

2. How to calculate the LCM of 750, 278, 654, 872, 338?

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 750, 278, 654, 872, 338.

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}.