Given numbers are 698,940,812,280,770

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

The LCM of 698,940,812,280,770 is 1465115960.

Find LCM of 698,940,812,280,770 with Prime Factorization

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

2 x 2 x 5 x 7 x 349 x 47 x 29 x 2 x 11 = 1465115960

Therefore, the lowest common multiple of 698,940,812,280,770 is 1465115960.

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.

698 x 940 x 812 x 280 x 770 = 114865091264000

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.

698 : 1, 2, 349, 698

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,940,812,280,770, is 2.

Now, the common factors can be found like this.

698:2x 349

940:2x 2x 5x 47

812:2x 2x 7x 29

280:2x 2x 2x 5x 7

770:2x 5x 7x 11

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 2x 5x 5x 7x 7 = 39200

Therefore, the value for common factors is 39200.

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 = 114865091264000/(2x39200)

LCM = 114865091264000/78400

LCM = 1465115960

Thus, we can understand that the LCM of 698,940,812,280,770 is 1465115960.

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

• LCM of 105, 678, 521, 150, 926
• LCM of 116, 624, 784, 871, 781
• LCM of 741, 672, 687, 623, 645
• LCM of 634, 435, 349, 117, 951
• LCM of 620, 375, 282, 331, 954

1. What is the LCM of 698, 940, 812, 280, 770?

Answer: LCM of 698, 940, 812, 280, 770 is 1465115960.

2. How to calculate the LCM of 698, 940, 812, 280, 770?

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 698, 940, 812, 280, 770.

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}.