LCM of 958, 748, 884, 172, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 748, 884, 172, 874 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 958, 748, 884, 172, 874. So, keep reading to learn more.
Given numbers are 958,748,884,172,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,748,884,172,874 is 87524644636.
Find LCM of 958,748,884,172,874 with Prime Factorization
| 2 | 958, 748, 884, 172, 874 |
| 2 | 479, 374, 442, 86, 437 |
| 17 | 479, 187, 221, 43, 437 |
| 479, 11, 13, 43, 437 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 479 x 11 x 13 x 43 x 437 = 87524644636
Therefore, the lowest common multiple of 958,748,884,172,874 is 87524644636.
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.
958 x 748 x 884 x 172 x 874 = 95226813363968
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.
958 : 1, 2, 479, 958
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
172 : 1, 2, 4, 43, 86, 172
874 : 1, 2, 19, 23, 38, 46, 437, 874
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,748,884,172,874, is 2.
Now, the common factors can be found like this.
958:2x 479
748:2x 2x 11x 17
884:2x 2x 13x 17
172:2x 2x 43
874:2x 19x 23
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 17 = 544
Therefore, the value for common factors is 544.
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 = 95226813363968/(2x544)
LCM = 95226813363968/1088
LCM = 87524644636
Thus, we can understand that the LCM of 958,748,884,172,874 is 87524644636.
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FAQs on LCM of 958, 748, 884, 172, 874
1. What is the LCM of 958, 748, 884, 172, 874?
Answer: LCM of 958, 748, 884, 172, 874 is 87524644636.
2. How to calculate the LCM of 958, 748, 884, 172, 874?
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 958, 748, 884, 172, 874.
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}.