LCM of 426, 506, 694, 291, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 506, 694, 291, 951 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 426, 506, 694, 291, 951. So, keep reading to learn more.
Given numbers are 426,506,694,291,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,506,694,291,951 is 1149980805534.
Find LCM of 426,506,694,291,951 with Prime Factorization
| 2 | 426, 506, 694, 291, 951 |
| 3 | 213, 253, 347, 291, 951 |
| 71, 253, 347, 97, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 253 x 347 x 97 x 317 = 1149980805534
Therefore, the lowest common multiple of 426,506,694,291,951 is 1149980805534.
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.
426 x 506 x 694 x 291 x 951 = 41399308999224
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
506 : 1, 2, 11, 22, 23, 46, 253, 506
694 : 1, 2, 347, 694
291 : 1, 3, 97, 291
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,506,694,291,951, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
506:2x 11x 23
694:2x 347
291:3x 97
951:3x 317
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 3 = 36
Therefore, the value for common factors is 36.
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 = 41399308999224/(1x36)
LCM = 41399308999224/36
LCM = 1149980805534
Thus, we can understand that the LCM of 426,506,694,291,951 is 1149980805534.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 426, 506, 694, 291, 951
1. What is the LCM of 426, 506, 694, 291, 951?
Answer: LCM of 426, 506, 694, 291, 951 is 1149980805534.
2. How to calculate the LCM of 426, 506, 694, 291, 951?
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 426, 506, 694, 291, 951.
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}.