Given numbers are 686,584,949,971

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

The LCM of 686,584,949,971 is 2528538376.

Find LCM of 686,584,949,971 with Prime Factorization

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

2 x 73 x 343 x 4 x 13 x 971 = 2528538376

Therefore, the lowest common multiple of 686,584,949,971 is 2528538376.

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.

686 x 584 x 949 x 971 = 369166602896

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.

686 : 1, 2, 7, 14, 49, 98, 343, 686

584 : 1, 2, 4, 8, 73, 146, 292, 584

949 : 1, 13, 73, 949

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,584,949,971, is 1.

Now, the common factors can be found like this.

686:2x 7x 7x 7

584:2x 2x 2x 73

949:13x 73

971:971

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 369166602896/(1x146)

LCM = 369166602896/146

LCM = 2528538376

Thus, we can understand that the LCM of 686,584,949,971 is 2528538376.

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

• LCM of 507, 783, 963, 424
• LCM of 979, 741, 263, 441
• LCM of 754, 380, 216, 745
• LCM of 738, 334, 313, 861
• LCM of 950, 280, 211, 430

1. What is the LCM of 686, 584, 949, 971?

Answer: LCM of 686, 584, 949, 971 is 2528538376.

2. How to calculate the LCM of 686, 584, 949, 971?

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 686, 584, 949, 971.

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}.