Given numbers are 978,858,234,750

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

The LCM of 978,858,234,750 is 52445250.

Find LCM of 978,858,234,750 with Prime Factorization

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

2 x 3 x 13 x 163 x 11 x 3 x 125 = 52445250

Therefore, the lowest common multiple of 978,858,234,750 is 52445250.

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 858 x 234 x 750 = 147266262000

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

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,858,234,750, is 6.

Now, the common factors can be found like this.

978:2x 3x 163

858:2x 3x 11x 13

234:2x 3x 3x 13

750:2x 3x 5x 5x 5

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

2x 2x 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 147266262000/(6x468)

LCM = 147266262000/2808

LCM = 52445250

Thus, we can understand that the LCM of 978,858,234,750 is 52445250.

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

• LCM of 910, 145, 639, 234
• LCM of 619, 374, 379, 868
• LCM of 142, 426, 435, 400
• LCM of 370, 579, 779, 118
• LCM of 464, 412, 779, 120

1. What is the LCM of 978, 858, 234, 750?

Answer: LCM of 978, 858, 234, 750 is 52445250.

2. How to calculate the LCM of 978, 858, 234, 750?

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, 858, 234, 750.

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}.