Given numbers are 860,279,828,983,152

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

The LCM of 860,279,828,983,152 is 206142531480.

Find LCM of 860,279,828,983,152 with Prime Factorization

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

2 x 2 x 3 x 3 x 215 x 31 x 23 x 983 x 38 = 206142531480

Therefore, the lowest common multiple of 860,279,828,983,152 is 206142531480.

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.

860 x 279 x 828 x 983 x 152 = 29684524533120

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.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

279 : 1, 3, 9, 31, 93, 279

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

983 : 1, 983

152 : 1, 2, 4, 8, 19, 38, 76, 152

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,279,828,983,152, is 1.

Now, the common factors can be found like this.

860:2x 2x 5x 43

279:3x 3x 31

828:2x 2x 3x 3x 23

983:983

152:2x 2x 2x 19

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 29684524533120/(1x144)

LCM = 29684524533120/144

LCM = 206142531480

Thus, we can understand that the LCM of 860,279,828,983,152 is 206142531480.

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

• LCM of 493, 648, 976, 856, 498
• LCM of 212, 820, 627, 569, 823
• LCM of 151, 705, 216, 139, 294
• LCM of 945, 294, 896, 620, 178
• LCM of 229, 359, 980, 958, 112

1. What is the LCM of 860, 279, 828, 983, 152?

Answer: LCM of 860, 279, 828, 983, 152 is 206142531480.

2. How to calculate the LCM of 860, 279, 828, 983, 152?

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 860, 279, 828, 983, 152.

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}.