Given numbers are 224,972,381,330,980

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

The LCM of 224,972,381,330,980 is 2661452640.

Find LCM of 224,972,381,330,980 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 8 x 81 x 127 x 11 x 7 = 2661452640

Therefore, the lowest common multiple of 224,972,381,330,980 is 2661452640.

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.

224 x 972 x 381 x 330 x 980 = 26827442611200

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

381 : 1, 3, 127, 381

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,972,381,330,980, is 1.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

972:2x 2x 3x 3x 3x 3x 3

381:3x 127

330:2x 3x 5x 11

980:2x 2x 5x 7x 7

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 3x 3x 5x 7 = 10080

Therefore, the value for common factors is 10080.

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 = 26827442611200/(1x10080)

LCM = 26827442611200/10080

LCM = 2661452640

Thus, we can understand that the LCM of 224,972,381,330,980 is 2661452640.

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

• LCM of 329, 444, 323, 813, 858
• LCM of 864, 778, 540, 790, 389
• LCM of 254, 189, 571, 465, 463
• LCM of 741, 238, 947, 382, 965
• LCM of 646, 949, 465, 200, 341

1. What is the LCM of 224, 972, 381, 330, 980?

Answer: LCM of 224, 972, 381, 330, 980 is 2661452640.

2. How to calculate the LCM of 224, 972, 381, 330, 980?

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 224, 972, 381, 330, 980.

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}.