LCM of 143, 546, 298, 672, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 546, 298, 672, 714 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 143, 546, 298, 672, 714. So, keep reading to learn more.
Given numbers are 143,546,298,672,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,546,298,672,714 is 243411168.
Find LCM of 143,546,298,672,714 with Prime Factorization
| 2 | 143, 546, 298, 672, 714 |
| 3 | 143, 273, 149, 336, 357 |
| 7 | 143, 91, 149, 112, 119 |
| 13 | 143, 13, 149, 16, 17 |
| 11, 1, 149, 16, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 11 x 1 x 149 x 16 x 17 = 243411168
Therefore, the lowest common multiple of 143,546,298,672,714 is 243411168.
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.
143 x 546 x 298 x 672 x 714 = 11163809809152
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.
143 : 1, 11, 13, 143
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
298 : 1, 2, 149, 298
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,546,298,672,714, is 1.
Now, the common factors can be found like this.
143:11x 13
546:2x 3x 7x 13
298:2x 149
672:2x 2x 2x 2x 2x 3x 7
714:2x 3x 7x 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 2x 3x 3x 7x 7x 13 = 45864
Therefore, the value for common factors is 45864.
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 = 11163809809152/(1x45864)
LCM = 11163809809152/45864
LCM = 243411168
Thus, we can understand that the LCM of 143,546,298,672,714 is 243411168.
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FAQs on LCM of 143, 546, 298, 672, 714
1. What is the LCM of 143, 546, 298, 672, 714?
Answer: LCM of 143, 546, 298, 672, 714 is 243411168.
2. How to calculate the LCM of 143, 546, 298, 672, 714?
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 143, 546, 298, 672, 714.
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}.