LCM of 141, 822, 322, 980, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 141, 822, 322, 980, 759 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 141, 822, 322, 980, 759. So, keep reading to learn more.
Given numbers are 141,822,322,980,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 141,822,322,980,759 is 4789456980.
Find LCM of 141,822,322,980,759 with Prime Factorization
| 2 | 141, 822, 322, 980, 759 |
| 3 | 141, 411, 161, 490, 759 |
| 7 | 47, 137, 161, 490, 253 |
| 23 | 47, 137, 23, 70, 253 |
| 47, 137, 1, 70, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 47 x 137 x 1 x 70 x 11 = 4789456980
Therefore, the lowest common multiple of 141,822,322,980,759 is 4789456980.
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.
141 x 822 x 322 x 980 x 759 = 27759692656080
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.
141 : 1, 3, 47, 141
822 : 1, 2, 3, 6, 137, 274, 411, 822
322 : 1, 2, 7, 14, 23, 46, 161, 322
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,822,322,980,759, is 1.
Now, the common factors can be found like this.
141:3x 47
822:2x 3x 137
322:2x 7x 23
980:2x 2x 5x 7x 7
759:3x 11x 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 3x 3x 7x 23 = 5796
Therefore, the value for common factors is 5796.
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 = 27759692656080/(1x5796)
LCM = 27759692656080/5796
LCM = 4789456980
Thus, we can understand that the LCM of 141,822,322,980,759 is 4789456980.
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FAQs on LCM of 141, 822, 322, 980, 759
1. What is the LCM of 141, 822, 322, 980, 759?
Answer: LCM of 141, 822, 322, 980, 759 is 4789456980.
2. How to calculate the LCM of 141, 822, 322, 980, 759?
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 141, 822, 322, 980, 759.
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}.