LCM of 353, 672, 741, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 353, 672, 741, 942 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 353, 672, 741, 942. So, keep reading to learn more.
Given numbers are 353,672,741,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,672,741,942 is 9198999264.
Find LCM of 353,672,741,942 with Prime Factorization
| 2 | 353, 672, 741, 942 |
| 3 | 353, 336, 741, 471 |
| 353, 112, 247, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 353 x 112 x 247 x 157 = 9198999264
Therefore, the lowest common multiple of 353,672,741,942 is 9198999264.
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.
353 x 672 x 741 x 942 = 165581986752
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.
353 : 1, 353
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
741 : 1, 3, 13, 19, 39, 57, 247, 741
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,672,741,942, is 1.
Now, the common factors can be found like this.
353:353
672:2x 2x 2x 2x 2x 3x 7
741:3x 13x 19
942:2x 3x 157
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 3 = 18
Therefore, the value for common factors is 18.
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 = 165581986752/(1x18)
LCM = 165581986752/18
LCM = 9198999264
Thus, we can understand that the LCM of 353,672,741,942 is 9198999264.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 353, 672, 741, 942
1. What is the LCM of 353, 672, 741, 942?
Answer: LCM of 353, 672, 741, 942 is 9198999264.
2. How to calculate the LCM of 353, 672, 741, 942?
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 353, 672, 741, 942.
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}.