LCM of 381, 942, 556, 781, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 942, 556, 781, 334 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 381, 942, 556, 781, 334. So, keep reading to learn more.
Given numbers are 381,942,556,781,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,942,556,781,334 is 4337774033604.
Find LCM of 381,942,556,781,334 with Prime Factorization
| 2 | 381, 942, 556, 781, 334 |
| 3 | 381, 471, 278, 781, 167 |
| 127, 157, 278, 781, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 157 x 278 x 781 x 167 = 4337774033604
Therefore, the lowest common multiple of 381,942,556,781,334 is 4337774033604.
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.
381 x 942 x 556 x 781 x 334 = 52053288403248
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.
381 : 1, 3, 127, 381
942 : 1, 2, 3, 6, 157, 314, 471, 942
556 : 1, 2, 4, 139, 278, 556
781 : 1, 11, 71, 781
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,942,556,781,334, is 1.
Now, the common factors can be found like this.
381:3x 127
942:2x 3x 157
556:2x 2x 139
781:11x 71
334:2x 167
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 = 52053288403248/(1x12)
LCM = 52053288403248/12
LCM = 4337774033604
Thus, we can understand that the LCM of 381,942,556,781,334 is 4337774033604.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 381, 942, 556, 781, 334
1. What is the LCM of 381, 942, 556, 781, 334?
Answer: LCM of 381, 942, 556, 781, 334 is 4337774033604.
2. How to calculate the LCM of 381, 942, 556, 781, 334?
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 381, 942, 556, 781, 334.
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}.