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LCM of 898, 247, 749, 950

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


Find the LCM of 898, 247, 749, 950 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, 247, 749, 950. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,247,749,950

Given numbers are 898,247,749,950

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

The LCM of 898,247,749,950 is 4153317350.

Find LCM of 898,247,749,950 with Prime Factorization


2 898, 247, 749, 950
19 449, 247, 749, 475
449, 13, 749, 25

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

2 x 19 x 449 x 13 x 749 x 25 = 4153317350

Therefore, the lowest common multiple of 898,247,749,950 is 4153317350.

LCM Formula to Find Lowest Common Multiple of 898,247,749,950

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 247 x 749 x 950 = 157826059300

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

247 : 1, 13, 19, 247

749 : 1, 7, 107, 749

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,247,749,950, is 1.

Now, the common factors can be found like this.

898:2x 449

247:13x 19

749:7x 107

950:2x 5x 5x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 157826059300/(1x38)

LCM = 157826059300/38

LCM = 4153317350

Thus, we can understand that the LCM of 898,247,749,950 is 4153317350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 898, 247, 749, 950

1. What is the LCM of 898, 247, 749, 950?

Answer: LCM of 898, 247, 749, 950 is 4153317350.

2. How to calculate the LCM of 898, 247, 749, 950?

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, 247, 749, 950.

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}.