Given numbers are 988,146,978

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

The LCM of 988,146,978 is 35268636.

Find LCM of 988,146,978 with Prime Factorization

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

2 x 494 x 73 x 489 = 35268636

Therefore, the lowest common multiple of 988,146,978 is 35268636.

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.

988 x 146 x 978 = 141074544

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

146 : 1, 2, 73, 146

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 988,146,978, is 2.

Now, the common factors can be found like this.

988:2x 2x 13x 19

146:2x 73

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 = 141074544/(2x2)

LCM = 141074544/4

LCM = 35268636

Thus, we can understand that the LCM of 988,146,978 is 35268636.

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

• LCM of 295, 756, 290
• LCM of 241, 156, 887
• LCM of 286, 103, 141
• LCM of 926, 852, 346
• LCM of 406, 698, 180

1. What is the LCM of 988, 146, 978?

Answer: LCM of 988, 146, 978 is 35268636.

2. How to calculate the LCM of 988, 146, 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 988, 146, 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}.