LCM of 988, 931, 575, 299, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 931, 575, 299, 749 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 988, 931, 575, 299, 749. So, keep reading to learn more.
Given numbers are 988,931,575,299,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,931,575,299,749 is 2978548300.
Find LCM of 988,931,575,299,749 with Prime Factorization
| 7 | 988, 931, 575, 299, 749 |
| 13 | 988, 133, 575, 299, 107 |
| 19 | 76, 133, 575, 23, 107 |
| 23 | 4, 7, 575, 23, 107 |
| 4, 7, 25, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 19 x 23 x 4 x 7 x 25 x 1 x 107 = 2978548300
Therefore, the lowest common multiple of 988,931,575,299,749 is 2978548300.
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.
988 x 931 x 575 x 299 x 749 = 118447930246100
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
931 : 1, 7, 19, 49, 133, 931
575 : 1, 5, 23, 25, 115, 575
299 : 1, 13, 23, 299
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,931,575,299,749, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
931:7x 7x 19
575:5x 5x 23
299:13x 23
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 13x 19x 23 = 39767
Therefore, the value for common factors is 39767.
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 = 118447930246100/(1x39767)
LCM = 118447930246100/39767
LCM = 2978548300
Thus, we can understand that the LCM of 988,931,575,299,749 is 2978548300.
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FAQs on LCM of 988, 931, 575, 299, 749
1. What is the LCM of 988, 931, 575, 299, 749?
Answer: LCM of 988, 931, 575, 299, 749 is 2978548300.
2. How to calculate the LCM of 988, 931, 575, 299, 749?
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 988, 931, 575, 299, 749.
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}.