LCM of 757, 640, 931, 117, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 757, 640, 931, 117, 741 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 757, 640, 931, 117, 741. So, keep reading to learn more.
Given numbers are 757,640,931,117,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,640,931,117,741 is 52772952960.
Find LCM of 757,640,931,117,741 with Prime Factorization
| 3 | 757, 640, 931, 117, 741 |
| 13 | 757, 640, 931, 39, 247 |
| 19 | 757, 640, 931, 3, 19 |
| 757, 640, 49, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 757 x 640 x 49 x 3 x 1 = 52772952960
Therefore, the lowest common multiple of 757,640,931,117,741 is 52772952960.
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.
757 x 640 x 931 x 117 x 741 = 39104758143360
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.
757 : 1, 757
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
931 : 1, 7, 19, 49, 133, 931
117 : 1, 3, 9, 13, 39, 117
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,640,931,117,741, is 1.
Now, the common factors can be found like this.
757:757
640:2x 2x 2x 2x 2x 2x 2x 5
931:7x 7x 19
117:3x 3x 13
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 19 = 741
Therefore, the value for common factors is 741.
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 = 39104758143360/(1x741)
LCM = 39104758143360/741
LCM = 52772952960
Thus, we can understand that the LCM of 757,640,931,117,741 is 52772952960.
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FAQs on LCM of 757, 640, 931, 117, 741
1. What is the LCM of 757, 640, 931, 117, 741?
Answer: LCM of 757, 640, 931, 117, 741 is 52772952960.
2. How to calculate the LCM of 757, 640, 931, 117, 741?
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 757, 640, 931, 117, 741.
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}.