Given numbers are 744,390,750,917,349

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

The LCM of 744,390,750,917,349 is 386919897000.

Find LCM of 744,390,750,917,349 with Prime Factorization

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

2 x 3 x 5 x 124 x 13 x 25 x 917 x 349 = 386919897000

Therefore, the lowest common multiple of 744,390,750,917,349 is 386919897000.

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.

744 x 390 x 750 x 917 x 349 = 69645581460000

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.

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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

917 : 1, 7, 131, 917

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,390,750,917,349, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

390:2x 3x 5x 13

750:2x 3x 5x 5x 5

917:7x 131

349:349

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 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 69645581460000/(1x180)

LCM = 69645581460000/180

LCM = 386919897000

Thus, we can understand that the LCM of 744,390,750,917,349 is 386919897000.

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

• LCM of 401, 711, 231, 456, 926
• LCM of 121, 713, 847, 415, 786
• LCM of 998, 577, 525, 449, 855
• LCM of 713, 560, 330, 304, 972
• LCM of 331, 286, 664, 177, 841

1. What is the LCM of 744, 390, 750, 917, 349?

Answer: LCM of 744, 390, 750, 917, 349 is 386919897000.

2. How to calculate the LCM of 744, 390, 750, 917, 349?

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 744, 390, 750, 917, 349.

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}.