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LCM of 989, 284, 994, 149

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


Find the LCM of 989, 284, 994, 149 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 989, 284, 994, 149. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,284,994,149

Given numbers are 989,284,994,149

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

The LCM of 989,284,994,149 is 292953668.

Find LCM of 989,284,994,149 with Prime Factorization


2 989, 284, 994, 149
71 989, 142, 497, 149
989, 2, 7, 149

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

2 x 71 x 989 x 2 x 7 x 149 = 292953668

Therefore, the lowest common multiple of 989,284,994,149 is 292953668.

LCM Formula to Find Lowest Common Multiple of 989,284,994,149

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.

989 x 284 x 994 x 149 = 41599420856

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.

989 : 1, 23, 43, 989

284 : 1, 2, 4, 71, 142, 284

994 : 1, 2, 7, 14, 71, 142, 497, 994

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,284,994,149, is 1.

Now, the common factors can be found like this.

989:23x 43

284:2x 2x 71

994:2x 7x 71

149:149

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 41599420856/(1x142)

LCM = 41599420856/142

LCM = 292953668

Thus, we can understand that the LCM of 989,284,994,149 is 292953668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 284, 994, 149

1. What is the LCM of 989, 284, 994, 149?

Answer: LCM of 989, 284, 994, 149 is 292953668.

2. How to calculate the LCM of 989, 284, 994, 149?

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 989, 284, 994, 149.

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}.