Given numbers are 930,700,265,750,610

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

The LCM of 930,700,265,750,610 is 1052341500.

Find LCM of 930,700,265,750,610 with Prime Factorization

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

2 x 3 x 5 x 5 x 31 x 14 x 53 x 5 x 61 = 1052341500

Therefore, the lowest common multiple of 930,700,265,750,610 is 1052341500.

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.

930 x 700 x 265 x 750 x 610 = 78925612500000

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

265 : 1, 5, 53, 265

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,700,265,750,610, is 5.

Now, the common factors can be found like this.

930:2x 3x 5x 31

700:2x 2x 5x 5x 7

265:5x 53

750:2x 3x 5x 5x 5

610:2x 5x 61

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 5x 5x 5x 5 = 15000

Therefore, the value for common factors is 15000.

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 = 78925612500000/(5x15000)

LCM = 78925612500000/75000

LCM = 1052341500

Thus, we can understand that the LCM of 930,700,265,750,610 is 1052341500.

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

• LCM of 846, 953, 136, 928, 844
• LCM of 775, 803, 799, 944, 645
• LCM of 103, 450, 456, 572, 631
• LCM of 464, 904, 465, 639, 302
• LCM of 159, 266, 683, 872, 528

1. What is the LCM of 930, 700, 265, 750, 610?

Answer: LCM of 930, 700, 265, 750, 610 is 1052341500.

2. How to calculate the LCM of 930, 700, 265, 750, 610?

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 930, 700, 265, 750, 610.

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}.