Given numbers are 610,340,808,748,918

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

The LCM of 610,340,808,748,918 is 1244275560.

Find LCM of 610,340,808,748,918 with Prime Factorization

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

2 x 2 x 5 x 17 x 61 x 1 x 202 x 11 x 27 = 1244275560

Therefore, the lowest common multiple of 610,340,808,748,918 is 1244275560.

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.

610 x 340 x 808 x 748 x 918 = 115070603788800

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.

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

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

808 : 1, 2, 4, 8, 101, 202, 404, 808

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,340,808,748,918, is 2.

Now, the common factors can be found like this.

610:2x 5x 61

340:2x 2x 5x 17

808:2x 2x 2x 101

748:2x 2x 11x 17

918:2x 3x 3x 3x 17

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 17x 17 = 46240

Therefore, the value for common factors is 46240.

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 = 115070603788800/(2x46240)

LCM = 115070603788800/92480

LCM = 1244275560

Thus, we can understand that the LCM of 610,340,808,748,918 is 1244275560.

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

• LCM of 416, 125, 548, 902, 695
• LCM of 832, 497, 600, 388, 854
• LCM of 467, 830, 633, 970, 490
• LCM of 475, 155, 200, 397, 741
• LCM of 166, 630, 243, 935, 606

1. What is the LCM of 610, 340, 808, 748, 918?

Answer: LCM of 610, 340, 808, 748, 918 is 1244275560.

2. How to calculate the LCM of 610, 340, 808, 748, 918?

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 610, 340, 808, 748, 918.

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}.