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LCM of 947, 138, 989, 305

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


Find the LCM of 947, 138, 989, 305 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 947, 138, 989, 305. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 947,138,989,305

Given numbers are 947,138,989,305

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

The LCM of 947,138,989,305 is 1713946890.

Find LCM of 947,138,989,305 with Prime Factorization


23 947, 138, 989, 305
947, 6, 43, 305

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

23 x 947 x 6 x 43 x 305 = 1713946890

Therefore, the lowest common multiple of 947,138,989,305 is 1713946890.

LCM Formula to Find Lowest Common Multiple of 947,138,989,305

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.

947 x 138 x 989 x 305 = 39420778470

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.

947 : 1, 947

138 : 1, 2, 3, 6, 23, 46, 69, 138

989 : 1, 23, 43, 989

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,138,989,305, is 1.

Now, the common factors can be found like this.

947:947

138:2x 3x 23

989:23x 43

305:5x 61

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

23 = 23

Therefore, the value for common factors is 23.

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 = 39420778470/(1x23)

LCM = 39420778470/23

LCM = 1713946890

Thus, we can understand that the LCM of 947,138,989,305 is 1713946890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 947, 138, 989, 305

1. What is the LCM of 947, 138, 989, 305?

Answer: LCM of 947, 138, 989, 305 is 1713946890.

2. How to calculate the LCM of 947, 138, 989, 305?

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 947, 138, 989, 305.

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}.