LCM of 953, 598, 587, 689, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 953, 598, 587, 689, 221 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 953, 598, 587, 689, 221. So, keep reading to learn more.
Given numbers are 953,598,587,689,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 953,598,587,689,221 is 301409527978.
Find LCM of 953,598,587,689,221 with Prime Factorization
| 13 | 953, 598, 587, 689, 221 |
| 953, 46, 587, 53, 17 |
Multiply the prime numbers at the bottom and the left side.
13 x 953 x 46 x 587 x 53 x 17 = 301409527978
Therefore, the lowest common multiple of 953,598,587,689,221 is 301409527978.
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.
953 x 598 x 587 x 689 x 221 = 50938210228282
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.
953 : 1, 953
598 : 1, 2, 13, 23, 26, 46, 299, 598
587 : 1, 587
689 : 1, 13, 53, 689
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,598,587,689,221, is 1.
Now, the common factors can be found like this.
953:953
598:2x 13x 23
587:587
689:13x 53
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 50938210228282/(1x169)
LCM = 50938210228282/169
LCM = 301409527978
Thus, we can understand that the LCM of 953,598,587,689,221 is 301409527978.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 953, 598, 587, 689, 221
1. What is the LCM of 953, 598, 587, 689, 221?
Answer: LCM of 953, 598, 587, 689, 221 is 301409527978.
2. How to calculate the LCM of 953, 598, 587, 689, 221?
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 953, 598, 587, 689, 221.
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}.