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LCM of 964, 238, 898, 279

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


Find the LCM of 964, 238, 898, 279 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 964, 238, 898, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 964,238,898,279

Given numbers are 964,238,898,279

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

The LCM of 964,238,898,279 is 14370588036.

Find LCM of 964,238,898,279 with Prime Factorization


2 964, 238, 898, 279
482, 119, 449, 279

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

2 x 482 x 119 x 449 x 279 = 14370588036

Therefore, the lowest common multiple of 964,238,898,279 is 14370588036.

LCM Formula to Find Lowest Common Multiple of 964,238,898,279

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.

964 x 238 x 898 x 279 = 57482352144

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.

964 : 1, 2, 4, 241, 482, 964

238 : 1, 2, 7, 14, 17, 34, 119, 238

898 : 1, 2, 449, 898

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,238,898,279, is 1.

Now, the common factors can be found like this.

964:2x 2x 241

238:2x 7x 17

898:2x 449

279:3x 3x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 57482352144/(1x4)

LCM = 57482352144/4

LCM = 14370588036

Thus, we can understand that the LCM of 964,238,898,279 is 14370588036.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 964, 238, 898, 279

1. What is the LCM of 964, 238, 898, 279?

Answer: LCM of 964, 238, 898, 279 is 14370588036.

2. How to calculate the LCM of 964, 238, 898, 279?

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 964, 238, 898, 279.

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}.