Given numbers are 561,312,107,749,740

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

The LCM of 561,312,107,749,740 is 8084436360.

Find LCM of 561,312,107,749,740 with Prime Factorization

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

2 x 2 x 3 x 107 x 187 x 26 x 1 x 7 x 185 = 8084436360

Therefore, the lowest common multiple of 561,312,107,749,740 is 8084436360.

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.

561 x 312 x 107 x 749 x 740 = 10380416286240

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

107 : 1, 107

749 : 1, 7, 107, 749

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,312,107,749,740, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

312:2x 2x 2x 3x 13

107:107

749:7x 107

740:2x 2x 5x 37

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 3x 107 = 1284

Therefore, the value for common factors is 1284.

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 = 10380416286240/(1x1284)

LCM = 10380416286240/1284

LCM = 8084436360

Thus, we can understand that the LCM of 561,312,107,749,740 is 8084436360.

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

• LCM of 710, 632, 550, 188, 456
• LCM of 363, 669, 871, 971, 611
• LCM of 258, 667, 752, 367, 888
• LCM of 776, 545, 118, 585, 412
• LCM of 451, 769, 878, 372, 881

1. What is the LCM of 561, 312, 107, 749, 740?

Answer: LCM of 561, 312, 107, 749, 740 is 8084436360.

2. How to calculate the LCM of 561, 312, 107, 749, 740?

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 561, 312, 107, 749, 740.

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}.