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LCM of 898, 312, 850, 423

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


Find the LCM of 898, 312, 850, 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 898, 312, 850, 423. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,312,850,423

Given numbers are 898,312,850,423

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

The LCM of 898,312,850,423 is 8394773400.

Find LCM of 898,312,850,423 with Prime Factorization


2 898, 312, 850, 423
3 449, 156, 425, 423
449, 52, 425, 141

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

2 x 3 x 449 x 52 x 425 x 141 = 8394773400

Therefore, the lowest common multiple of 898,312,850,423 is 8394773400.

LCM Formula to Find Lowest Common Multiple of 898,312,850,423

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.

898 x 312 x 850 x 423 = 100737280800

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.

898 : 1, 2, 449, 898

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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 898,312,850,423, is 1.

Now, the common factors can be found like this.

898:2x 449

312:2x 2x 2x 3x 13

850:2x 5x 5x 17

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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 100737280800/(1x12)

LCM = 100737280800/12

LCM = 8394773400

Thus, we can understand that the LCM of 898,312,850,423 is 8394773400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 898, 312, 850, 423

1. What is the LCM of 898, 312, 850, 423?

Answer: LCM of 898, 312, 850, 423 is 8394773400.

2. How to calculate the LCM of 898, 312, 850, 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 898, 312, 850, 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}.