LCM of 373, 354, 906, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 373, 354, 906, 946 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 373, 354, 906, 946. So, keep reading to learn more.
Given numbers are 373,354,906,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,354,906,946 is 9430835766.
Find LCM of 373,354,906,946 with Prime Factorization
| 2 | 373, 354, 906, 946 |
| 3 | 373, 177, 453, 473 |
| 373, 59, 151, 473 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 373 x 59 x 151 x 473 = 9430835766
Therefore, the lowest common multiple of 373,354,906,946 is 9430835766.
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.
373 x 354 x 906 x 946 = 113170029192
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.
373 : 1, 373
354 : 1, 2, 3, 6, 59, 118, 177, 354
906 : 1, 2, 3, 6, 151, 302, 453, 906
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,354,906,946, is 1.
Now, the common factors can be found like this.
373:373
354:2x 3x 59
906:2x 3x 151
946:2x 11x 43
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 3 = 12
Therefore, the value for common factors is 12.
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 = 113170029192/(1x12)
LCM = 113170029192/12
LCM = 9430835766
Thus, we can understand that the LCM of 373,354,906,946 is 9430835766.
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FAQs on LCM of 373, 354, 906, 946
1. What is the LCM of 373, 354, 906, 946?
Answer: LCM of 373, 354, 906, 946 is 9430835766.
2. How to calculate the LCM of 373, 354, 906, 946?
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 373, 354, 906, 946.
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}.