Given numbers are 978,290,997,914

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

The LCM of 978,290,997,914 is 64612748490.

Find LCM of 978,290,997,914 with Prime Factorization

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

2 x 489 x 145 x 997 x 457 = 64612748490

Therefore, the lowest common multiple of 978,290,997,914 is 64612748490.

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.

978 x 290 x 997 x 914 = 258450993960

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.

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

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

997 : 1, 997

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,290,997,914, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

290:2x 5x 29

997:997

914:2x 457

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 258450993960/(1x4)

LCM = 258450993960/4

LCM = 64612748490

Thus, we can understand that the LCM of 978,290,997,914 is 64612748490.

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

• LCM of 484, 546, 719, 332
• LCM of 804, 858, 291, 363
• LCM of 682, 736, 721, 613
• LCM of 428, 869, 272, 332
• LCM of 984, 152, 833, 796

1. What is the LCM of 978, 290, 997, 914?

Answer: LCM of 978, 290, 997, 914 is 64612748490.

2. How to calculate the LCM of 978, 290, 997, 914?

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 978, 290, 997, 914.

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}.