LCM of 357, 423, 470, 562
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 423, 470, 562 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 357, 423, 470, 562. So, keep reading to learn more.
Given numbers are 357,423,470,562
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,423,470,562 is 141446970.
Find LCM of 357,423,470,562 with Prime Factorization
| 2 | 357, 423, 470, 562 |
| 3 | 357, 423, 235, 281 |
| 47 | 119, 141, 235, 281 |
| 119, 3, 5, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 119 x 3 x 5 x 281 = 141446970
Therefore, the lowest common multiple of 357,423,470,562 is 141446970.
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.
357 x 423 x 470 x 562 = 39888045540
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
423 : 1, 3, 9, 47, 141, 423
470 : 1, 2, 5, 10, 47, 94, 235, 470
562 : 1, 2, 281, 562
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,423,470,562, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
423:3x 3x 47
470:2x 5x 47
562:2x 281
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 47 = 282
Therefore, the value for common factors is 282.
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 = 39888045540/(1x282)
LCM = 39888045540/282
LCM = 141446970
Thus, we can understand that the LCM of 357,423,470,562 is 141446970.
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FAQs on LCM of 357, 423, 470, 562
1. What is the LCM of 357, 423, 470, 562?
Answer: LCM of 357, 423, 470, 562 is 141446970.
2. How to calculate the LCM of 357, 423, 470, 562?
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 357, 423, 470, 562.
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}.