Given numbers are 978,394,919,326,690

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

The LCM of 978,394,919,326,690 is 20361906210.

Find LCM of 978,394,919,326,690 with Prime Factorization

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

2 x 3 x 163 x 1 x 197 x 919 x 1 x 115 = 20361906210

Therefore, the lowest common multiple of 978,394,919,326,690 is 20361906210.

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 394 x 919 x 326 x 690 = 79655777093520

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

394 : 1, 2, 197, 394

919 : 1, 919

326 : 1, 2, 163, 326

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,394,919,326,690, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

394:2x 197

919:919

326:2x 163

690:2x 3x 5x 23

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 3x 163 = 3912

Therefore, the value for common factors is 3912.

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 = 79655777093520/(1x3912)

LCM = 79655777093520/3912

LCM = 20361906210

Thus, we can understand that the LCM of 978,394,919,326,690 is 20361906210.

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

• LCM of 123, 742, 649, 610, 846
• LCM of 825, 162, 948, 763, 595
• LCM of 375, 446, 271, 740, 693
• LCM of 954, 485, 191, 189, 716
• LCM of 979, 663, 993, 859, 191

1. What is the LCM of 978, 394, 919, 326, 690?

Answer: LCM of 978, 394, 919, 326, 690 is 20361906210.

2. How to calculate the LCM of 978, 394, 919, 326, 690?

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, 394, 919, 326, 690.

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}.