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LCM of 154, 148, 922, 183

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 154, 148, 922, 183 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 154, 148, 922, 183. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 154,148,922,183

Given numbers are 154,148,922,183

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

The LCM of 154,148,922,183 is 961400748.

Find LCM of 154,148,922,183 with Prime Factorization


2 154, 148, 922, 183
77, 74, 461, 183

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

2 x 77 x 74 x 461 x 183 = 961400748

Therefore, the lowest common multiple of 154,148,922,183 is 961400748.

LCM Formula to Find Lowest Common Multiple of 154,148,922,183

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.

154 x 148 x 922 x 183 = 3845602992

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.

154 : 1, 2, 7, 11, 14, 22, 77, 154

148 : 1, 2, 4, 37, 74, 148

922 : 1, 2, 461, 922

183 : 1, 3, 61, 183

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,148,922,183, is 1.

Now, the common factors can be found like this.

154:2x 7x 11

148:2x 2x 37

922:2x 461

183:3x 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 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 = 3845602992/(1x4)

LCM = 3845602992/4

LCM = 961400748

Thus, we can understand that the LCM of 154,148,922,183 is 961400748.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 154, 148, 922, 183

1. What is the LCM of 154, 148, 922, 183?

Answer: LCM of 154, 148, 922, 183 is 961400748.

2. How to calculate the LCM of 154, 148, 922, 183?

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 154, 148, 922, 183.

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}.