Given numbers are 980,900,464,293,248

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

The LCM of 980,900,464,293,248 is 46464994800.

Find LCM of 980,900,464,293,248 with Prime Factorization

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

2 x 2 x 2 x 5 x 49 x 45 x 58 x 293 x 31 = 46464994800

Therefore, the lowest common multiple of 980,900,464,293,248 is 46464994800.

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.

980 x 900 x 464 x 293 x 248 = 29737596672000

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.

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

293 : 1, 293

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,900,464,293,248, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

900:2x 2x 3x 3x 5x 5

464:2x 2x 2x 2x 29

293:293

248:2x 2x 2x 31

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 2x 2x 5 = 640

Therefore, the value for common factors is 640.

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 = 29737596672000/(1x640)

LCM = 29737596672000/640

LCM = 46464994800

Thus, we can understand that the LCM of 980,900,464,293,248 is 46464994800.

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

• LCM of 411, 411, 730, 965, 190
• LCM of 629, 142, 788, 269, 832
• LCM of 126, 421, 520, 318, 211
• LCM of 539, 774, 865, 254, 297
• LCM of 680, 275, 476, 390, 678

1. What is the LCM of 980, 900, 464, 293, 248?

Answer: LCM of 980, 900, 464, 293, 248 is 46464994800.

2. How to calculate the LCM of 980, 900, 464, 293, 248?

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 980, 900, 464, 293, 248.

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}.