LCM of 740, 420, 564, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 420, 564, 678 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 740, 420, 564, 678. So, keep reading to learn more.
Given numbers are 740,420,564,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,420,564,678 is 82532940.
Find LCM of 740,420,564,678 with Prime Factorization
| 2 | 740, 420, 564, 678 |
| 2 | 370, 210, 282, 339 |
| 3 | 185, 105, 141, 339 |
| 5 | 185, 35, 47, 113 |
| 37, 7, 47, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 37 x 7 x 47 x 113 = 82532940
Therefore, the lowest common multiple of 740,420,564,678 is 82532940.
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.
740 x 420 x 564 x 678 = 118847433600
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
678 : 1, 2, 3, 6, 113, 226, 339, 678
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,420,564,678, is 2.
Now, the common factors can be found like this.
740:2x 2x 5x 37
420:2x 2x 3x 5x 7
564:2x 2x 3x 47
678:2x 3x 113
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 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 118847433600/(2x720)
LCM = 118847433600/1440
LCM = 82532940
Thus, we can understand that the LCM of 740,420,564,678 is 82532940.
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FAQs on LCM of 740, 420, 564, 678
1. What is the LCM of 740, 420, 564, 678?
Answer: LCM of 740, 420, 564, 678 is 82532940.
2. How to calculate the LCM of 740, 420, 564, 678?
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 740, 420, 564, 678.
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}.