LCM of 154, 676, 942, 785, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 676, 942, 785, 711 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 154, 676, 942, 785, 711. So, keep reading to learn more.
Given numbers are 154,676,942,785,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,676,942,785,711 is 29052043020.
Find LCM of 154,676,942,785,711 with Prime Factorization
| 2 | 154, 676, 942, 785, 711 |
| 3 | 77, 338, 471, 785, 711 |
| 157 | 77, 338, 157, 785, 237 |
| 77, 338, 1, 5, 237 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 77 x 338 x 1 x 5 x 237 = 29052043020
Therefore, the lowest common multiple of 154,676,942,785,711 is 29052043020.
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.
154 x 676 x 942 x 785 x 711 = 54734049049680
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
942 : 1, 2, 3, 6, 157, 314, 471, 942
785 : 1, 5, 157, 785
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,676,942,785,711, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
676:2x 2x 13x 13
942:2x 3x 157
785:5x 157
711:3x 3x 79
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 3x 157 = 1884
Therefore, the value for common factors is 1884.
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 = 54734049049680/(1x1884)
LCM = 54734049049680/1884
LCM = 29052043020
Thus, we can understand that the LCM of 154,676,942,785,711 is 29052043020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 154, 676, 942, 785, 711
1. What is the LCM of 154, 676, 942, 785, 711?
Answer: LCM of 154, 676, 942, 785, 711 is 29052043020.
2. How to calculate the LCM of 154, 676, 942, 785, 711?
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 154, 676, 942, 785, 711.
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}.