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LCM of 934, 959, 919, 238, 143

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


Find the LCM of 934, 959, 919, 238, 143 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 934, 959, 919, 238, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 934,959,919,238,143

Given numbers are 934,959,919,238,143

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

The LCM of 934,959,919,238,143 is 2001086921834.

Find LCM of 934,959,919,238,143 with Prime Factorization


2 934, 959, 919, 238, 143
7 467, 959, 919, 119, 143
467, 137, 919, 17, 143

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

2 x 7 x 467 x 137 x 919 x 17 x 143 = 2001086921834

Therefore, the lowest common multiple of 934,959,919,238,143 is 2001086921834.

LCM Formula to Find Lowest Common Multiple of 934,959,919,238,143

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.

934 x 959 x 919 x 238 x 143 = 28015216905676

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.

934 : 1, 2, 467, 934

959 : 1, 7, 137, 959

919 : 1, 919

238 : 1, 2, 7, 14, 17, 34, 119, 238

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,959,919,238,143, is 1.

Now, the common factors can be found like this.

934:2x 467

959:7x 137

919:919

238:2x 7x 17

143:11x 13

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 28015216905676/(1x14)

LCM = 28015216905676/14

LCM = 2001086921834

Thus, we can understand that the LCM of 934,959,919,238,143 is 2001086921834.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 934, 959, 919, 238, 143

1. What is the LCM of 934, 959, 919, 238, 143?

Answer: LCM of 934, 959, 919, 238, 143 is 2001086921834.

2. How to calculate the LCM of 934, 959, 919, 238, 143?

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 934, 959, 919, 238, 143.

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}.