LCM of 368, 847, 827, 572, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 847, 827, 572, 756 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 368, 847, 827, 572, 756. So, keep reading to learn more.
Given numbers are 368,847,827,572,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,847,827,572,756 is 90478179792.
Find LCM of 368,847,827,572,756 with Prime Factorization
| 2 | 368, 847, 827, 572, 756 |
| 2 | 184, 847, 827, 286, 378 |
| 7 | 92, 847, 827, 143, 189 |
| 11 | 92, 121, 827, 143, 27 |
| 92, 11, 827, 13, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 92 x 11 x 827 x 13 x 27 = 90478179792
Therefore, the lowest common multiple of 368,847,827,572,756 is 90478179792.
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.
368 x 847 x 827 x 572 x 756 = 111469117503744
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
847 : 1, 7, 11, 77, 121, 847
827 : 1, 827
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,847,827,572,756, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
847:7x 11x 11
827:827
572:2x 2x 11x 13
756:2x 2x 3x 3x 3x 7
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 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 111469117503744/(1x1232)
LCM = 111469117503744/1232
LCM = 90478179792
Thus, we can understand that the LCM of 368,847,827,572,756 is 90478179792.
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FAQs on LCM of 368, 847, 827, 572, 756
1. What is the LCM of 368, 847, 827, 572, 756?
Answer: LCM of 368, 847, 827, 572, 756 is 90478179792.
2. How to calculate the LCM of 368, 847, 827, 572, 756?
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 368, 847, 827, 572, 756.
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}.