LCM of 943, 868, 759, 144, 937
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 943, 868, 759, 144, 937 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 943, 868, 759, 144, 937. So, keep reading to learn more.
Given numbers are 943,868,759,144,937
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,868,759,144,937 is 303714967248.
Find LCM of 943,868,759,144,937 with Prime Factorization
| 2 | 943, 868, 759, 144, 937 |
| 2 | 943, 434, 759, 72, 937 |
| 3 | 943, 217, 759, 36, 937 |
| 23 | 943, 217, 253, 12, 937 |
| 41, 217, 11, 12, 937 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 41 x 217 x 11 x 12 x 937 = 303714967248
Therefore, the lowest common multiple of 943,868,759,144,937 is 303714967248.
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.
943 x 868 x 759 x 144 x 937 = 83825330960448
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.
943 : 1, 23, 41, 943
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
759 : 1, 3, 11, 23, 33, 69, 253, 759
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
937 : 1, 937
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,868,759,144,937, is 1.
Now, the common factors can be found like this.
943:23x 41
868:2x 2x 7x 31
759:3x 11x 23
144:2x 2x 2x 2x 3x 3
937:937
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 23 = 276
Therefore, the value for common factors is 276.
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 = 83825330960448/(1x276)
LCM = 83825330960448/276
LCM = 303714967248
Thus, we can understand that the LCM of 943,868,759,144,937 is 303714967248.
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FAQs on LCM of 943, 868, 759, 144, 937
1. What is the LCM of 943, 868, 759, 144, 937?
Answer: LCM of 943, 868, 759, 144, 937 is 303714967248.
2. How to calculate the LCM of 943, 868, 759, 144, 937?
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 943, 868, 759, 144, 937.
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}.