LCM of 420, 356, 567, 676, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 356, 567, 676, 764 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 420, 356, 567, 676, 764. So, keep reading to learn more.
Given numbers are 420,356,567,676,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,356,567,676,764 is 32577903540.
Find LCM of 420,356,567,676,764 with Prime Factorization
| 2 | 420, 356, 567, 676, 764 |
| 2 | 210, 178, 567, 338, 382 |
| 3 | 105, 89, 567, 169, 191 |
| 7 | 35, 89, 189, 169, 191 |
| 5, 89, 27, 169, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 5 x 89 x 27 x 169 x 191 = 32577903540
Therefore, the lowest common multiple of 420,356,567,676,764 is 32577903540.
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.
420 x 356 x 567 x 676 x 764 = 43784702357760
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.
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
356 : 1, 2, 4, 89, 178, 356
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
764 : 1, 2, 4, 191, 382, 764
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,356,567,676,764, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
356:2x 2x 89
567:3x 3x 3x 3x 7
676:2x 2x 13x 13
764:2x 2x 191
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 7 = 1344
Therefore, the value for common factors is 1344.
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 = 43784702357760/(1x1344)
LCM = 43784702357760/1344
LCM = 32577903540
Thus, we can understand that the LCM of 420,356,567,676,764 is 32577903540.
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FAQs on LCM of 420, 356, 567, 676, 764
1. What is the LCM of 420, 356, 567, 676, 764?
Answer: LCM of 420, 356, 567, 676, 764 is 32577903540.
2. How to calculate the LCM of 420, 356, 567, 676, 764?
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 420, 356, 567, 676, 764.
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}.