Given numbers are 902,496,504,746

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

The LCM of 902,496,504,746 is 5256632304.

Find LCM of 902,496,504,746 with Prime Factorization

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

2 x 2 x 2 x 451 x 62 x 63 x 373 = 5256632304

Therefore, the lowest common multiple of 902,496,504,746 is 5256632304.

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.

902 x 496 x 504 x 746 = 168212233728

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

746 : 1, 2, 373, 746

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,496,504,746, is 2.

Now, the common factors can be found like this.

902:2x 11x 41

496:2x 2x 2x 2x 31

504:2x 2x 2x 3x 3x 7

746:2x 373

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 2 = 16

Therefore, the value for common factors is 16.

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 = 168212233728/(2x16)

LCM = 168212233728/32

LCM = 5256632304

Thus, we can understand that the LCM of 902,496,504,746 is 5256632304.

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

• LCM of 179, 737, 280, 949
• LCM of 799, 578, 252, 700
• LCM of 108, 767, 398, 274
• LCM of 994, 172, 877, 764
• LCM of 735, 923, 701, 901

1. What is the LCM of 902, 496, 504, 746?

Answer: LCM of 902, 496, 504, 746 is 5256632304.

2. How to calculate the LCM of 902, 496, 504, 746?

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 902, 496, 504, 746.

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}.