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LCM of 234, 974, 606, 959

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


Find the LCM of 234, 974, 606, 959 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 234, 974, 606, 959. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,974,606,959

Given numbers are 234,974,606,959

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

The LCM of 234,974,606,959 is 11037857922.

Find LCM of 234,974,606,959 with Prime Factorization


2 234, 974, 606, 959
3 117, 487, 303, 959
39, 487, 101, 959

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

2 x 3 x 39 x 487 x 101 x 959 = 11037857922

Therefore, the lowest common multiple of 234,974,606,959 is 11037857922.

LCM Formula to Find Lowest Common Multiple of 234,974,606,959

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.

234 x 974 x 606 x 959 = 132454295064

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

974 : 1, 2, 487, 974

606 : 1, 2, 3, 6, 101, 202, 303, 606

959 : 1, 7, 137, 959

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,974,606,959, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

974:2x 487

606:2x 3x 101

959:7x 137

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 132454295064/(1x12)

LCM = 132454295064/12

LCM = 11037857922

Thus, we can understand that the LCM of 234,974,606,959 is 11037857922.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 974, 606, 959

1. What is the LCM of 234, 974, 606, 959?

Answer: LCM of 234, 974, 606, 959 is 11037857922.

2. How to calculate the LCM of 234, 974, 606, 959?

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 234, 974, 606, 959.

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}.