Given numbers are 421,24,978

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

The LCM of 421,24,978 is 1646952.

Find LCM of 421,24,978 with Prime Factorization

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

2 x 3 x 421 x 4 x 163 = 1646952

Therefore, the lowest common multiple of 421,24,978 is 1646952.

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.

421 x 24 x 978 = 9881712

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.

421 : 1, 421

24 : 1, 2, 3, 4, 6, 8, 12, 24

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 421,24,978, is 1.

Now, the common factors can be found like this.

421:421

24:2x 2x 2x 3

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 3 = 6

Therefore, the value for common factors is 6.

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 = 9881712/(1x6)

LCM = 9881712/6

LCM = 1646952

Thus, we can understand that the LCM of 421,24,978 is 1646952.

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

• LCM of 926, 11, 871
• LCM of 659, 51, 517
• LCM of 224, 56, 720
• LCM of 750, 54, 114
• LCM of 973, 64, 384

1. What is the LCM of 421, 24, 978?

Answer: LCM of 421, 24, 978 is 1646952.

2. How to calculate the LCM of 421, 24, 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 421, 24, 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}.