LCM of 560, 156, 419, 189, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 156, 419, 189, 742 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 560, 156, 419, 189, 742. So, keep reading to learn more.
Given numbers are 560,156,419,189,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,156,419,189,742 is 4365007920.
Find LCM of 560,156,419,189,742 with Prime Factorization
| 2 | 560, 156, 419, 189, 742 |
| 2 | 280, 78, 419, 189, 371 |
| 3 | 140, 39, 419, 189, 371 |
| 7 | 140, 13, 419, 63, 371 |
| 20, 13, 419, 9, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 20 x 13 x 419 x 9 x 53 = 4365007920
Therefore, the lowest common multiple of 560,156,419,189,742 is 4365007920.
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.
560 x 156 x 419 x 189 x 742 = 5133249313920
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
419 : 1, 419
189 : 1, 3, 7, 9, 21, 27, 63, 189
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,156,419,189,742, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
156:2x 2x 3x 13
419:419
189:3x 3x 3x 7
742:2x 7x 53
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 3x 7x 7 = 1176
Therefore, the value for common factors is 1176.
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 = 5133249313920/(1x1176)
LCM = 5133249313920/1176
LCM = 4365007920
Thus, we can understand that the LCM of 560,156,419,189,742 is 4365007920.
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FAQs on LCM of 560, 156, 419, 189, 742
1. What is the LCM of 560, 156, 419, 189, 742?
Answer: LCM of 560, 156, 419, 189, 742 is 4365007920.
2. How to calculate the LCM of 560, 156, 419, 189, 742?
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 560, 156, 419, 189, 742.
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}.