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LCM of 554, 981, 184, 565, 923

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


Find the LCM of 554, 981, 184, 565, 923 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 554, 981, 184, 565, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 554,981,184,565,923

Given numbers are 554,981,184,565,923

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

The LCM of 554,981,184,565,923 is 26074545573960.

Find LCM of 554,981,184,565,923 with Prime Factorization


2 554, 981, 184, 565, 923
277, 981, 92, 565, 923

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

2 x 277 x 981 x 92 x 565 x 923 = 26074545573960

Therefore, the lowest common multiple of 554,981,184,565,923 is 26074545573960.

LCM Formula to Find Lowest Common Multiple of 554,981,184,565,923

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.

554 x 981 x 184 x 565 x 923 = 52149091147920

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.

554 : 1, 2, 277, 554

981 : 1, 3, 9, 109, 327, 981

184 : 1, 2, 4, 8, 23, 46, 92, 184

565 : 1, 5, 113, 565

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,981,184,565,923, is 1.

Now, the common factors can be found like this.

554:2x 277

981:3x 3x 109

184:2x 2x 2x 23

565:5x 113

923:13x 71

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

2 = 2

Therefore, the value for common factors is 2.

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 = 52149091147920/(1x2)

LCM = 52149091147920/2

LCM = 26074545573960

Thus, we can understand that the LCM of 554,981,184,565,923 is 26074545573960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 554, 981, 184, 565, 923

1. What is the LCM of 554, 981, 184, 565, 923?

Answer: LCM of 554, 981, 184, 565, 923 is 26074545573960.

2. How to calculate the LCM of 554, 981, 184, 565, 923?

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 554, 981, 184, 565, 923.

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}.