LCM of 833, 742, 660, 377, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 833, 742, 660, 377, 671 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 833, 742, 660, 377, 671. So, keep reading to learn more.
Given numbers are 833,742,660,377,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 833,742,660,377,671 is 670094404980.
Find LCM of 833,742,660,377,671 with Prime Factorization
| 2 | 833, 742, 660, 377, 671 |
| 7 | 833, 371, 330, 377, 671 |
| 11 | 119, 53, 330, 377, 671 |
| 119, 53, 30, 377, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 119 x 53 x 30 x 377 x 61 = 670094404980
Therefore, the lowest common multiple of 833,742,660,377,671 is 670094404980.
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.
833 x 742 x 660 x 377 x 671 = 103194538366920
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.
833 : 1, 7, 17, 49, 119, 833
742 : 1, 2, 7, 14, 53, 106, 371, 742
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
377 : 1, 13, 29, 377
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 833,742,660,377,671, is 1.
Now, the common factors can be found like this.
833:7x 7x 17
742:2x 7x 53
660:2x 2x 3x 5x 11
377:13x 29
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 103194538366920/(1x154)
LCM = 103194538366920/154
LCM = 670094404980
Thus, we can understand that the LCM of 833,742,660,377,671 is 670094404980.
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FAQs on LCM of 833, 742, 660, 377, 671
1. What is the LCM of 833, 742, 660, 377, 671?
Answer: LCM of 833, 742, 660, 377, 671 is 670094404980.
2. How to calculate the LCM of 833, 742, 660, 377, 671?
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 833, 742, 660, 377, 671.
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}.