Given numbers are 870,660,292,638,430

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

The LCM of 870,660,292,638,430 is 60080460.

Find LCM of 870,660,292,638,430 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 29 x 1 x 1 x 73 x 1 x 43 = 60080460

Therefore, the lowest common multiple of 870,660,292,638,430 is 60080460.

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.

870 x 660 x 292 x 638 x 430 = 45997600176000

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

430 : 1, 2, 5, 10, 43, 86, 215, 430

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,660,292,638,430, is 2.

Now, the common factors can be found like this.

870:2x 3x 5x 29

660:2x 2x 3x 5x 11

292:2x 2x 73

638:2x 11x 29

430:2x 5x 43

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 3x 5x 5x 11x 29 = 382800

Therefore, the value for common factors is 382800.

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 = 45997600176000/(2x382800)

LCM = 45997600176000/765600

LCM = 60080460

Thus, we can understand that the LCM of 870,660,292,638,430 is 60080460.

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

• LCM of 621, 999, 322, 277, 375
• LCM of 972, 875, 942, 142, 290
• LCM of 898, 695, 913, 213, 482
• LCM of 138, 508, 214, 308, 622
• LCM of 660, 978, 557, 102, 630

1. What is the LCM of 870, 660, 292, 638, 430?

Answer: LCM of 870, 660, 292, 638, 430 is 60080460.

2. How to calculate the LCM of 870, 660, 292, 638, 430?

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 870, 660, 292, 638, 430.

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}.