Given numbers are 980,388,861,404,889

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

The LCM of 980,388,861,404,889 is 149978158260.

Find LCM of 980,388,861,404,889 with Prime Factorization

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

2 x 2 x 7 x 35 x 97 x 123 x 101 x 127 = 149978158260

Therefore, the lowest common multiple of 980,388,861,404,889 is 149978158260.

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 388 x 861 x 404 x 889 = 117582876075840

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

388 : 1, 2, 4, 97, 194, 388

861 : 1, 3, 7, 21, 41, 123, 287, 861

404 : 1, 2, 4, 101, 202, 404

889 : 1, 7, 127, 889

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,388,861,404,889, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

388:2x 2x 97

861:3x 7x 41

404:2x 2x 101

889:7x 127

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 117582876075840/(1x784)

LCM = 117582876075840/784

LCM = 149978158260

Thus, we can understand that the LCM of 980,388,861,404,889 is 149978158260.

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

• LCM of 571, 689, 364, 733, 897
• LCM of 210, 446, 368, 181, 330
• LCM of 909, 464, 499, 369, 882
• LCM of 409, 440, 147, 121, 279
• LCM of 208, 746, 873, 182, 145

1. What is the LCM of 980, 388, 861, 404, 889?

Answer: LCM of 980, 388, 861, 404, 889 is 149978158260.

2. How to calculate the LCM of 980, 388, 861, 404, 889?

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, 388, 861, 404, 889.

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}.