LCM of 546, 472, 849, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 472, 849, 767 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 546, 472, 849, 767. So, keep reading to learn more.
Given numbers are 546,472,849,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,472,849,767 is 36466248.
Find LCM of 546,472,849,767 with Prime Factorization
| 2 | 546, 472, 849, 767 |
| 3 | 273, 236, 849, 767 |
| 13 | 91, 236, 283, 767 |
| 59 | 7, 236, 283, 59 |
| 7, 4, 283, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 59 x 7 x 4 x 283 x 1 = 36466248
Therefore, the lowest common multiple of 546,472,849,767 is 36466248.
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.
546 x 472 x 849 x 767 = 167817673296
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
472 : 1, 2, 4, 8, 59, 118, 236, 472
849 : 1, 3, 283, 849
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,472,849,767, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
472:2x 2x 2x 59
849:3x 283
767:13x 59
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 13x 59 = 4602
Therefore, the value for common factors is 4602.
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 = 167817673296/(1x4602)
LCM = 167817673296/4602
LCM = 36466248
Thus, we can understand that the LCM of 546,472,849,767 is 36466248.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 472, 849, 767
1. What is the LCM of 546, 472, 849, 767?
Answer: LCM of 546, 472, 849, 767 is 36466248.
2. How to calculate the LCM of 546, 472, 849, 767?
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 546, 472, 849, 767.
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}.