Given numbers are 978,470,527,305

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

The LCM of 978,470,527,305 is 7388345010.

Find LCM of 978,470,527,305 with Prime Factorization

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

2 x 5 x 489 x 47 x 527 x 61 = 7388345010

Therefore, the lowest common multiple of 978,470,527,305 is 7388345010.

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 470 x 527 x 305 = 73883450100

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

470 : 1, 2, 5, 10, 47, 94, 235, 470

527 : 1, 17, 31, 527

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,470,527,305, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

470:2x 5x 47

527:17x 31

305:5x 61

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 73883450100/(1x10)

LCM = 73883450100/10

LCM = 7388345010

Thus, we can understand that the LCM of 978,470,527,305 is 7388345010.

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

• LCM of 946, 307, 282, 844
• LCM of 540, 384, 948, 175
• LCM of 106, 145, 942, 925
• LCM of 875, 179, 741, 685
• LCM of 449, 770, 786, 599

1. What is the LCM of 978, 470, 527, 305?

Answer: LCM of 978, 470, 527, 305 is 7388345010.

2. How to calculate the LCM of 978, 470, 527, 305?

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, 470, 527, 305.

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}.