LCM of 380, 564, 690, 708, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 564, 690, 708, 828 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 380, 564, 690, 708, 828. So, keep reading to learn more.
Given numbers are 380,564,690,708,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,564,690,708,828 is 218124180.
Find LCM of 380,564,690,708,828 with Prime Factorization
| 2 | 380, 564, 690, 708, 828 |
| 2 | 190, 282, 345, 354, 414 |
| 3 | 95, 141, 345, 177, 207 |
| 5 | 95, 47, 115, 59, 69 |
| 23 | 19, 47, 23, 59, 69 |
| 19, 47, 1, 59, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 19 x 47 x 1 x 59 x 3 = 218124180
Therefore, the lowest common multiple of 380,564,690,708,828 is 218124180.
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.
380 x 564 x 690 x 708 x 828 = 86691274099200
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,564,690,708,828, is 2.
Now, the common factors can be found like this.
380:2x 2x 5x 19
564:2x 2x 3x 47
690:2x 3x 5x 23
708:2x 2x 3x 59
828:2x 2x 3x 3x 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 2x 3x 3x 3x 5x 23 = 198720
Therefore, the value for common factors is 198720.
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 = 86691274099200/(2x198720)
LCM = 86691274099200/397440
LCM = 218124180
Thus, we can understand that the LCM of 380,564,690,708,828 is 218124180.
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FAQs on LCM of 380, 564, 690, 708, 828
1. What is the LCM of 380, 564, 690, 708, 828?
Answer: LCM of 380, 564, 690, 708, 828 is 218124180.
2. How to calculate the LCM of 380, 564, 690, 708, 828?
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 380, 564, 690, 708, 828.
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}.