Given numbers are 978,343,417,456

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

The LCM of 978,343,417,456 is 3543736056.

Find LCM of 978,343,417,456 with Prime Factorization

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

2 x 3 x 163 x 343 x 139 x 76 = 3543736056

Therefore, the lowest common multiple of 978,343,417,456 is 3543736056.

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 343 x 417 x 456 = 63787249008

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

343 : 1, 7, 49, 343

417 : 1, 3, 139, 417

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,343,417,456, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

343:7x 7x 7

417:3x 139

456:2x 2x 2x 3x 19

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 63787249008/(1x18)

LCM = 63787249008/18

LCM = 3543736056

Thus, we can understand that the LCM of 978,343,417,456 is 3543736056.

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

• LCM of 152, 505, 170, 825
• LCM of 210, 810, 684, 558
• LCM of 336, 215, 649, 246
• LCM of 682, 186, 352, 700
• LCM of 370, 599, 806, 411

1. What is the LCM of 978, 343, 417, 456?

Answer: LCM of 978, 343, 417, 456 is 3543736056.

2. How to calculate the LCM of 978, 343, 417, 456?

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, 343, 417, 456.

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}.