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LCM of 954, 170, 918, 562

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


Find the LCM of 954, 170, 918, 562 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 954, 170, 918, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 954,170,918,562

Given numbers are 954,170,918,562

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

The LCM of 954,170,918,562 is 68358870.

Find LCM of 954,170,918,562 with Prime Factorization


2 954, 170, 918, 562
3 477, 85, 459, 281
3 159, 85, 153, 281
17 53, 85, 51, 281
53, 5, 3, 281

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

2 x 3 x 3 x 17 x 53 x 5 x 3 x 281 = 68358870

Therefore, the lowest common multiple of 954,170,918,562 is 68358870.

LCM Formula to Find Lowest Common Multiple of 954,170,918,562

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.

954 x 170 x 918 x 562 = 83671256880

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.

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

170 : 1, 2, 5, 10, 17, 34, 85, 170

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

562 : 1, 2, 281, 562

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,170,918,562, is 2.

Now, the common factors can be found like this.

954:2x 3x 3x 53

170:2x 5x 17

918:2x 3x 3x 3x 17

562:2x 281

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 3x 3x 17 = 612

Therefore, the value for common factors is 612.

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 = 83671256880/(2x612)

LCM = 83671256880/1224

LCM = 68358870

Thus, we can understand that the LCM of 954,170,918,562 is 68358870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 954, 170, 918, 562

1. What is the LCM of 954, 170, 918, 562?

Answer: LCM of 954, 170, 918, 562 is 68358870.

2. How to calculate the LCM of 954, 170, 918, 562?

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 954, 170, 918, 562.

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}.