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LCM of 276, 868, 920, 775, 458

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


Find the LCM of 276, 868, 920, 775, 458 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 276, 868, 920, 775, 458. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 276,868,920,775,458

Given numbers are 276,868,920,775,458

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

The LCM of 276,868,920,775,458 is 685763400.

Find LCM of 276,868,920,775,458 with Prime Factorization


2 276, 868, 920, 775, 458
2 138, 434, 460, 775, 229
5 69, 217, 230, 775, 229
23 69, 217, 46, 155, 229
31 3, 217, 2, 155, 229
3, 7, 2, 5, 229

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

2 x 2 x 5 x 23 x 31 x 3 x 7 x 2 x 5 x 229 = 685763400

Therefore, the lowest common multiple of 276,868,920,775,458 is 685763400.

LCM Formula to Find Lowest Common Multiple of 276,868,920,775,458

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.

276 x 868 x 920 x 775 x 458 = 78231888672000

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

775 : 1, 5, 25, 31, 155, 775

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,868,920,775,458, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

868:2x 2x 7x 31

920:2x 2x 2x 5x 23

775:5x 5x 31

458:2x 229

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 2x 2x 2x 5x 23x 31 = 114080

Therefore, the value for common factors is 114080.

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 = 78231888672000/(1x114080)

LCM = 78231888672000/114080

LCM = 685763400

Thus, we can understand that the LCM of 276,868,920,775,458 is 685763400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 276, 868, 920, 775, 458

1. What is the LCM of 276, 868, 920, 775, 458?

Answer: LCM of 276, 868, 920, 775, 458 is 685763400.

2. How to calculate the LCM of 276, 868, 920, 775, 458?

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 276, 868, 920, 775, 458.

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}.