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LCM of 968, 890, 740, 586, 464

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


Find the LCM of 968, 890, 740, 586, 464 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 968, 890, 740, 586, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 968,890,740,586,464

Given numbers are 968,890,740,586,464

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

The LCM of 968,890,740,586,464 is 270852411280.

Find LCM of 968,890,740,586,464 with Prime Factorization


2 968, 890, 740, 586, 464
2 484, 445, 370, 293, 232
2 242, 445, 185, 293, 116
5 121, 445, 185, 293, 58
121, 89, 37, 293, 58

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

2 x 2 x 2 x 5 x 121 x 89 x 37 x 293 x 58 = 270852411280

Therefore, the lowest common multiple of 968,890,740,586,464 is 270852411280.

LCM Formula to Find Lowest Common Multiple of 968,890,740,586,464

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.

968 x 890 x 740 x 586 x 464 = 173345543219200

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

890 : 1, 2, 5, 10, 89, 178, 445, 890

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

586 : 1, 2, 293, 586

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,890,740,586,464, is 2.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

890:2x 5x 89

740:2x 2x 5x 37

586:2x 293

464:2x 2x 2x 2x 29

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 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 173345543219200/(2x320)

LCM = 173345543219200/640

LCM = 270852411280

Thus, we can understand that the LCM of 968,890,740,586,464 is 270852411280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 968, 890, 740, 586, 464

1. What is the LCM of 968, 890, 740, 586, 464?

Answer: LCM of 968, 890, 740, 586, 464 is 270852411280.

2. How to calculate the LCM of 968, 890, 740, 586, 464?

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 968, 890, 740, 586, 464.

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}.