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LCM of 957, 626, 554, 177

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


Find the LCM of 957, 626, 554, 177 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, 626, 554, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,626,554,177

Given numbers are 957,626,554,177

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

The LCM of 957,626,554,177 is 9790797126.

Find LCM of 957,626,554,177 with Prime Factorization


2 957, 626, 554, 177
3 957, 313, 277, 177
319, 313, 277, 59

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

2 x 3 x 319 x 313 x 277 x 59 = 9790797126

Therefore, the lowest common multiple of 957,626,554,177 is 9790797126.

LCM Formula to Find Lowest Common Multiple of 957,626,554,177

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 626 x 554 x 177 = 58744782756

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

626 : 1, 2, 313, 626

554 : 1, 2, 277, 554

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,626,554,177, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

626:2x 313

554:2x 277

177:3x 59

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 = 58744782756/(1x6)

LCM = 58744782756/6

LCM = 9790797126

Thus, we can understand that the LCM of 957,626,554,177 is 9790797126.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 626, 554, 177

1. What is the LCM of 957, 626, 554, 177?

Answer: LCM of 957, 626, 554, 177 is 9790797126.

2. How to calculate the LCM of 957, 626, 554, 177?

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, 626, 554, 177.

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}.