LCM of 423, 630, 546, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 423, 630, 546, 374 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 423, 630, 546, 374. So, keep reading to learn more.
Given numbers are 423,630,546,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 423,630,546,374 is 71981910.
Find LCM of 423,630,546,374 with Prime Factorization
| 2 | 423, 630, 546, 374 |
| 3 | 423, 315, 273, 187 |
| 3 | 141, 105, 91, 187 |
| 7 | 47, 35, 91, 187 |
| 47, 5, 13, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 47 x 5 x 13 x 187 = 71981910
Therefore, the lowest common multiple of 423,630,546,374 is 71981910.
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.
423 x 630 x 546 x 374 = 54418323960
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.
423 : 1, 3, 9, 47, 141, 423
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,630,546,374, is 1.
Now, the common factors can be found like this.
423:3x 3x 47
630:2x 3x 3x 5x 7
546:2x 3x 7x 13
374:2x 11x 17
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 3x 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 54418323960/(1x756)
LCM = 54418323960/756
LCM = 71981910
Thus, we can understand that the LCM of 423,630,546,374 is 71981910.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 423, 630, 546, 374
1. What is the LCM of 423, 630, 546, 374?
Answer: LCM of 423, 630, 546, 374 is 71981910.
2. How to calculate the LCM of 423, 630, 546, 374?
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 423, 630, 546, 374.
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}.