LCM of 359, 847, 150, 638, 103
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 847, 150, 638, 103 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 359, 847, 150, 638, 103. So, keep reading to learn more.
Given numbers are 359,847,150,638,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,847,150,638,103 is 136239907650.
Find LCM of 359,847,150,638,103 with Prime Factorization
| 2 | 359, 847, 150, 638, 103 |
| 11 | 359, 847, 75, 319, 103 |
| 359, 77, 75, 29, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 359 x 77 x 75 x 29 x 103 = 136239907650
Therefore, the lowest common multiple of 359,847,150,638,103 is 136239907650.
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.
359 x 847 x 150 x 638 x 103 = 2997277968300
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.
359 : 1, 359
847 : 1, 7, 11, 77, 121, 847
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
638 : 1, 2, 11, 22, 29, 58, 319, 638
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,847,150,638,103, is 1.
Now, the common factors can be found like this.
359:359
847:7x 11x 11
150:2x 3x 5x 5
638:2x 11x 29
103:103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 2997277968300/(1x22)
LCM = 2997277968300/22
LCM = 136239907650
Thus, we can understand that the LCM of 359,847,150,638,103 is 136239907650.
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FAQs on LCM of 359, 847, 150, 638, 103
1. What is the LCM of 359, 847, 150, 638, 103?
Answer: LCM of 359, 847, 150, 638, 103 is 136239907650.
2. How to calculate the LCM of 359, 847, 150, 638, 103?
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 359, 847, 150, 638, 103.
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}.