LCM of 749, 526, 490, 962, 703
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 526, 490, 962, 703 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 749, 526, 490, 962, 703. So, keep reading to learn more.
Given numbers are 749,526,490,962,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,526,490,962,703 is 126018493510.
Find LCM of 749,526,490,962,703 with Prime Factorization
| 2 | 749, 526, 490, 962, 703 |
| 7 | 749, 263, 245, 481, 703 |
| 37 | 107, 263, 35, 481, 703 |
| 107, 263, 35, 13, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 37 x 107 x 263 x 35 x 13 x 19 = 126018493510
Therefore, the lowest common multiple of 749,526,490,962,703 is 126018493510.
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.
749 x 526 x 490 x 962 x 703 = 130555159276360
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.
749 : 1, 7, 107, 749
526 : 1, 2, 263, 526
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
962 : 1, 2, 13, 26, 37, 74, 481, 962
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,526,490,962,703, is 1.
Now, the common factors can be found like this.
749:7x 107
526:2x 263
490:2x 5x 7x 7
962:2x 13x 37
703:19x 37
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 7x 37 = 1036
Therefore, the value for common factors is 1036.
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 = 130555159276360/(1x1036)
LCM = 130555159276360/1036
LCM = 126018493510
Thus, we can understand that the LCM of 749,526,490,962,703 is 126018493510.
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FAQs on LCM of 749, 526, 490, 962, 703
1. What is the LCM of 749, 526, 490, 962, 703?
Answer: LCM of 749, 526, 490, 962, 703 is 126018493510.
2. How to calculate the LCM of 749, 526, 490, 962, 703?
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 749, 526, 490, 962, 703.
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}.