Given numbers are 513,299,357,696,750

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

The LCM of 513,299,357,696,750 is 529338537000.

Find LCM of 513,299,357,696,750 with Prime Factorization

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

2 x 3 x 171 x 299 x 119 x 116 x 125 = 529338537000

Therefore, the lowest common multiple of 513,299,357,696,750 is 529338537000.

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.

513 x 299 x 357 x 696 x 750 = 28584280998000

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

299 : 1, 13, 23, 299

357 : 1, 3, 7, 17, 21, 51, 119, 357

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,299,357,696,750, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

299:13x 23

357:3x 7x 17

696:2x 2x 2x 3x 29

750:2x 3x 5x 5x 5

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 28584280998000/(1x54)

LCM = 28584280998000/54

LCM = 529338537000

Thus, we can understand that the LCM of 513,299,357,696,750 is 529338537000.

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

• LCM of 832, 920, 120, 246, 972
• LCM of 937, 688, 119, 295, 211
• LCM of 824, 926, 635, 465, 174
• LCM of 893, 822, 214, 907, 632
• LCM of 965, 186, 540, 125, 195

1. What is the LCM of 513, 299, 357, 696, 750?

Answer: LCM of 513, 299, 357, 696, 750 is 529338537000.

2. How to calculate the LCM of 513, 299, 357, 696, 750?

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 513, 299, 357, 696, 750.

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}.