LCM of 102, 958, 748, 152, 734
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 102, 958, 748, 152, 734 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 102, 958, 748, 152, 734. So, keep reading to learn more.
Given numbers are 102,958,748,152,734
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,958,748,152,734 is 14990220696.
Find LCM of 102,958,748,152,734 with Prime Factorization
| 2 | 102, 958, 748, 152, 734 |
| 2 | 51, 479, 374, 76, 367 |
| 17 | 51, 479, 187, 38, 367 |
| 3, 479, 11, 38, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 3 x 479 x 11 x 38 x 367 = 14990220696
Therefore, the lowest common multiple of 102,958,748,152,734 is 14990220696.
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.
102 x 958 x 748 x 152 x 734 = 8154680058624
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
958 : 1, 2, 479, 958
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
152 : 1, 2, 4, 8, 19, 38, 76, 152
734 : 1, 2, 367, 734
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,958,748,152,734, is 2.
Now, the common factors can be found like this.
102:2x 3x 17
958:2x 479
748:2x 2x 11x 17
152:2x 2x 2x 19
734:2x 367
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 17 = 272
Therefore, the value for common factors is 272.
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 = 8154680058624/(2x272)
LCM = 8154680058624/544
LCM = 14990220696
Thus, we can understand that the LCM of 102,958,748,152,734 is 14990220696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 102, 958, 748, 152, 734
1. What is the LCM of 102, 958, 748, 152, 734?
Answer: LCM of 102, 958, 748, 152, 734 is 14990220696.
2. How to calculate the LCM of 102, 958, 748, 152, 734?
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 102, 958, 748, 152, 734.
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}.