Given numbers are 292,612,584,856,749

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

The LCM of 292,612,584,856,749 is 66924648.

Find LCM of 292,612,584,856,749 with Prime Factorization

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

2 x 2 x 2 x 73 x 107 x 1 x 153 x 1 x 1 x 7 = 66924648

Therefore, the lowest common multiple of 292,612,584,856,749 is 66924648.

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.

292 x 612 x 584 x 856 x 749 = 66911798467584

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.

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,612,584,856,749, is 1.

Now, the common factors can be found like this.

292:2x 2x 73

612:2x 2x 3x 3x 17

584:2x 2x 2x 73

856:2x 2x 2x 107

749:7x 107

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 73x 107 = 999808

Therefore, the value for common factors is 999808.

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 = 66911798467584/(1x999808)

LCM = 66911798467584/999808

LCM = 66924648

Thus, we can understand that the LCM of 292,612,584,856,749 is 66924648.

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

• LCM of 539, 534, 182, 839, 502
• LCM of 149, 922, 209, 301, 699
• LCM of 747, 673, 263, 948, 846
• LCM of 918, 369, 758, 905, 790
• LCM of 243, 628, 977, 936, 653

1. What is the LCM of 292, 612, 584, 856, 749?

Answer: LCM of 292, 612, 584, 856, 749 is 66924648.

2. How to calculate the LCM of 292, 612, 584, 856, 749?

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 292, 612, 584, 856, 749.

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}.