Given numbers are 824,742,978

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

The LCM of 824,742,978 is 149489256.

Find LCM of 824,742,978 with Prime Factorization

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

2 x 412 x 371 x 489 = 149489256

Therefore, the lowest common multiple of 824,742,978 is 149489256.

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.

824 x 742 x 978 = 597957024

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

742 : 1, 2, 7, 14, 53, 106, 371, 742

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,742,978, is 2.

Now, the common factors can be found like this.

824:2x 2x 2x 103

742:2x 7x 53

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 597957024/(2x2)

LCM = 597957024/4

LCM = 149489256

Thus, we can understand that the LCM of 824,742,978 is 149489256.

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

• LCM of 417, 431, 175
• LCM of 276, 528, 268
• LCM of 627, 838, 939
• LCM of 162, 937, 649
• LCM of 616, 144, 886

1. What is the LCM of 824, 742, 978?

Answer: LCM of 824, 742, 978 is 149489256.

2. How to calculate the LCM of 824, 742, 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 824, 742, 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}.