LCM of 741, 338, 506, 620, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 338, 506, 620, 420 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 741, 338, 506, 620, 420. So, keep reading to learn more.
Given numbers are 741,338,506,620,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,338,506,620,420 is 10577226660.
Find LCM of 741,338,506,620,420 with Prime Factorization
| 2 | 741, 338, 506, 620, 420 |
| 2 | 741, 169, 253, 310, 210 |
| 3 | 741, 169, 253, 155, 105 |
| 5 | 247, 169, 253, 155, 35 |
| 13 | 247, 169, 253, 31, 7 |
| 19, 13, 253, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 19 x 13 x 253 x 31 x 7 = 10577226660
Therefore, the lowest common multiple of 741,338,506,620,420 is 10577226660.
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.
741 x 338 x 506 x 620 x 420 = 33000947179200
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
338 : 1, 2, 13, 26, 169, 338
506 : 1, 2, 11, 22, 23, 46, 253, 506
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,338,506,620,420, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
338:2x 13x 13
506:2x 11x 23
620:2x 2x 5x 31
420:2x 2x 3x 5x 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 3x 5x 13 = 3120
Therefore, the value for common factors is 3120.
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 = 33000947179200/(1x3120)
LCM = 33000947179200/3120
LCM = 10577226660
Thus, we can understand that the LCM of 741,338,506,620,420 is 10577226660.
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FAQs on LCM of 741, 338, 506, 620, 420
1. What is the LCM of 741, 338, 506, 620, 420?
Answer: LCM of 741, 338, 506, 620, 420 is 10577226660.
2. How to calculate the LCM of 741, 338, 506, 620, 420?
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 741, 338, 506, 620, 420.
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}.