Given numbers are 397,754,900,978

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

The LCM of 397,754,900,978 is 21956442300.

Find LCM of 397,754,900,978 with Prime Factorization

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

2 x 3 x 397 x 377 x 150 x 163 = 21956442300

Therefore, the lowest common multiple of 397,754,900,978 is 21956442300.

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.

397 x 754 x 900 x 978 = 263477307600

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.

397 : 1, 397

754 : 1, 2, 13, 26, 29, 58, 377, 754

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,754,900,978, is 1.

Now, the common factors can be found like this.

397:397

754:2x 13x 29

900:2x 2x 3x 3x 5x 5

978:2x 3x 163

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 3 = 12

Therefore, the value for common factors is 12.

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 = 263477307600/(1x12)

LCM = 263477307600/12

LCM = 21956442300

Thus, we can understand that the LCM of 397,754,900,978 is 21956442300.

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

• LCM of 373, 932, 974, 184
• LCM of 654, 748, 303, 272
• LCM of 309, 429, 361, 882
• LCM of 618, 374, 357, 162
• LCM of 859, 312, 895, 350

1. What is the LCM of 397, 754, 900, 978?

Answer: LCM of 397, 754, 900, 978 is 21956442300.

2. How to calculate the LCM of 397, 754, 900, 978?

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 397, 754, 900, 978.

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}.