LCM of 697, 943, 638, 528, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 943, 638, 528, 702 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 697, 943, 638, 528, 702. So, keep reading to learn more.
Given numbers are 697,943,638,528,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,943,638,528,702 is 28719600624.
Find LCM of 697,943,638,528,702 with Prime Factorization
| 2 | 697, 943, 638, 528, 702 |
| 3 | 697, 943, 319, 264, 351 |
| 11 | 697, 943, 319, 88, 117 |
| 41 | 697, 943, 29, 8, 117 |
| 17, 23, 29, 8, 117 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 41 x 17 x 23 x 29 x 8 x 117 = 28719600624
Therefore, the lowest common multiple of 697,943,638,528,702 is 28719600624.
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.
697 x 943 x 638 x 528 x 702 = 155430478577088
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.
697 : 1, 17, 41, 697
943 : 1, 23, 41, 943
638 : 1, 2, 11, 22, 29, 58, 319, 638
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,943,638,528,702, is 1.
Now, the common factors can be found like this.
697:17x 41
943:23x 41
638:2x 11x 29
528:2x 2x 2x 2x 3x 11
702:2x 3x 3x 3x 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 3x 11x 41 = 5412
Therefore, the value for common factors is 5412.
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 = 155430478577088/(1x5412)
LCM = 155430478577088/5412
LCM = 28719600624
Thus, we can understand that the LCM of 697,943,638,528,702 is 28719600624.
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FAQs on LCM of 697, 943, 638, 528, 702
1. What is the LCM of 697, 943, 638, 528, 702?
Answer: LCM of 697, 943, 638, 528, 702 is 28719600624.
2. How to calculate the LCM of 697, 943, 638, 528, 702?
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 697, 943, 638, 528, 702.
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}.