Given numbers are 290,390,359,995,970

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

The LCM of 290,390,359,995,970 is 78375777870.

Find LCM of 290,390,359,995,970 with Prime Factorization

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

2 x 5 x 29 x 39 x 359 x 199 x 97 = 78375777870

Therefore, the lowest common multiple of 290,390,359,995,970 is 78375777870.

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.

290 x 390 x 359 x 995 x 970 = 39187888935000

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

359 : 1, 359

995 : 1, 5, 199, 995

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,390,359,995,970, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

390:2x 3x 5x 13

359:359

995:5x 199

970:2x 5x 97

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 5x 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 39187888935000/(1x500)

LCM = 39187888935000/500

LCM = 78375777870

Thus, we can understand that the LCM of 290,390,359,995,970 is 78375777870.

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

• LCM of 126, 300, 662, 884, 733
• LCM of 839, 984, 146, 773, 797
• LCM of 597, 801, 835, 112, 503
• LCM of 456, 830, 782, 324, 280
• LCM of 314, 850, 173, 386, 855

1. What is the LCM of 290, 390, 359, 995, 970?

Answer: LCM of 290, 390, 359, 995, 970 is 78375777870.

2. How to calculate the LCM of 290, 390, 359, 995, 970?

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 290, 390, 359, 995, 970.

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}.