Given numbers are 157,770,144,122,949

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

The LCM of 157,770,144,122,949 is 503870487120.

Find LCM of 157,770,144,122,949 with Prime Factorization

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

2 x 157 x 385 x 72 x 61 x 949 = 503870487120

Therefore, the lowest common multiple of 157,770,144,122,949 is 503870487120.

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.

157 x 770 x 144 x 122 x 949 = 2015481948480

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.

157 : 1, 157

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

122 : 1, 2, 61, 122

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,770,144,122,949, is 1.

Now, the common factors can be found like this.

157:157

770:2x 5x 7x 11

144:2x 2x 2x 2x 3x 3

122:2x 61

949:13x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2015481948480/(1x4)

LCM = 2015481948480/4

LCM = 503870487120

Thus, we can understand that the LCM of 157,770,144,122,949 is 503870487120.

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

• LCM of 957, 909, 671, 122, 781
• LCM of 626, 878, 261, 829, 971
• LCM of 623, 457, 903, 334, 389
• LCM of 881, 599, 648, 639, 982
• LCM of 243, 926, 420, 549, 926

1. What is the LCM of 157, 770, 144, 122, 949?

Answer: LCM of 157, 770, 144, 122, 949 is 503870487120.

2. How to calculate the LCM of 157, 770, 144, 122, 949?

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 157, 770, 144, 122, 949.

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}.