Given numbers are 970,991,284,138

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

The LCM of 970,991,284,138 is 9418523460.

Find LCM of 970,991,284,138 with Prime Factorization

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

2 x 485 x 991 x 142 x 69 = 9418523460

Therefore, the lowest common multiple of 970,991,284,138 is 9418523460.

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.

970 x 991 x 284 x 138 = 37674093840

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.

970 : 1, 2, 5, 10, 97, 194, 485, 970

991 : 1, 991

284 : 1, 2, 4, 71, 142, 284

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,991,284,138, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

991:991

284:2x 2x 71

138:2x 3x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 37674093840/(1x4)

LCM = 37674093840/4

LCM = 9418523460

Thus, we can understand that the LCM of 970,991,284,138 is 9418523460.

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

• LCM of 978, 673, 674, 892
• LCM of 972, 889, 314, 232
• LCM of 541, 837, 946, 504
• LCM of 552, 232, 137, 774
• LCM of 100, 155, 326, 459

1. What is the LCM of 970, 991, 284, 138?

Answer: LCM of 970, 991, 284, 138 is 9418523460.

2. How to calculate the LCM of 970, 991, 284, 138?

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 970, 991, 284, 138.

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}.