LCM of 942, 674, 389, 642, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 674, 389, 642, 546 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 942, 674, 389, 642, 546. So, keep reading to learn more.
Given numbers are 942,674,389,642,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,674,389,642,546 is 1202418293622.
Find LCM of 942,674,389,642,546 with Prime Factorization
| 2 | 942, 674, 389, 642, 546 |
| 3 | 471, 337, 389, 321, 273 |
| 157, 337, 389, 107, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 337 x 389 x 107 x 91 = 1202418293622
Therefore, the lowest common multiple of 942,674,389,642,546 is 1202418293622.
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.
942 x 674 x 389 x 642 x 546 = 86574117140784
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
674 : 1, 2, 337, 674
389 : 1, 389
642 : 1, 2, 3, 6, 107, 214, 321, 642
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,674,389,642,546, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
674:2x 337
389:389
642:2x 3x 107
546:2x 3x 7x 13
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 3 = 72
Therefore, the value for common factors is 72.
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 = 86574117140784/(1x72)
LCM = 86574117140784/72
LCM = 1202418293622
Thus, we can understand that the LCM of 942,674,389,642,546 is 1202418293622.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 942, 674, 389, 642, 546
1. What is the LCM of 942, 674, 389, 642, 546?
Answer: LCM of 942, 674, 389, 642, 546 is 1202418293622.
2. How to calculate the LCM of 942, 674, 389, 642, 546?
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 942, 674, 389, 642, 546.
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}.