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LCM of 957, 722, 596, 423

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


Find the LCM of 957, 722, 596, 423 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 957, 722, 596, 423. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,722,596,423

Given numbers are 957,722,596,423

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

The LCM of 957,722,596,423 is 29032505172.

Find LCM of 957,722,596,423 with Prime Factorization


2 957, 722, 596, 423
3 957, 361, 298, 423
319, 361, 298, 141

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

2 x 3 x 319 x 361 x 298 x 141 = 29032505172

Therefore, the lowest common multiple of 957,722,596,423 is 29032505172.

LCM Formula to Find Lowest Common Multiple of 957,722,596,423

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.

957 x 722 x 596 x 423 = 174195031032

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.

957 : 1, 3, 11, 29, 33, 87, 319, 957

722 : 1, 2, 19, 38, 361, 722

596 : 1, 2, 4, 149, 298, 596

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,722,596,423, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

722:2x 19x 19

596:2x 2x 149

423:3x 3x 47

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 174195031032/(1x6)

LCM = 174195031032/6

LCM = 29032505172

Thus, we can understand that the LCM of 957,722,596,423 is 29032505172.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 722, 596, 423

1. What is the LCM of 957, 722, 596, 423?

Answer: LCM of 957, 722, 596, 423 is 29032505172.

2. How to calculate the LCM of 957, 722, 596, 423?

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 957, 722, 596, 423.

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}.