Given numbers are 737,308,578,474,920

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

The LCM of 737,308,578,474,920 is 325086956040.

Find LCM of 737,308,578,474,920 with Prime Factorization

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

2 x 2 x 11 x 67 x 7 x 289 x 237 x 230 = 325086956040

Therefore, the lowest common multiple of 737,308,578,474,920 is 325086956040.

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.

737 x 308 x 578 x 474 x 920 = 57215304263040

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.

737 : 1, 11, 67, 737

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

578 : 1, 2, 17, 34, 289, 578

474 : 1, 2, 3, 6, 79, 158, 237, 474

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,308,578,474,920, is 1.

Now, the common factors can be found like this.

737:11x 67

308:2x 2x 7x 11

578:2x 17x 17

474:2x 3x 79

920:2x 2x 2x 5x 23

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 11 = 176

Therefore, the value for common factors is 176.

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 = 57215304263040/(1x176)

LCM = 57215304263040/176

LCM = 325086956040

Thus, we can understand that the LCM of 737,308,578,474,920 is 325086956040.

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

• LCM of 818, 195, 147, 267, 852
• LCM of 194, 866, 851, 746, 696
• LCM of 468, 639, 118, 891, 521
• LCM of 747, 767, 180, 606, 616
• LCM of 107, 928, 616, 990, 809

1. What is the LCM of 737, 308, 578, 474, 920?

Answer: LCM of 737, 308, 578, 474, 920 is 325086956040.

2. How to calculate the LCM of 737, 308, 578, 474, 920?

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 737, 308, 578, 474, 920.

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}.