LCM of 957, 770, 718, 653, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 770, 718, 653, 294 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 957, 770, 718, 653, 294. So, keep reading to learn more.
Given numbers are 957,770,718,653,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,770,718,653,294 is 109929853110.
Find LCM of 957,770,718,653,294 with Prime Factorization
| 2 | 957, 770, 718, 653, 294 |
| 3 | 957, 385, 359, 653, 147 |
| 7 | 319, 385, 359, 653, 49 |
| 11 | 319, 55, 359, 653, 7 |
| 29, 5, 359, 653, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 29 x 5 x 359 x 653 x 7 = 109929853110
Therefore, the lowest common multiple of 957,770,718,653,294 is 109929853110.
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.
957 x 770 x 718 x 653 x 294 = 101575184273640
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
718 : 1, 2, 359, 718
653 : 1, 653
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,770,718,653,294, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
770:2x 5x 7x 11
718:2x 359
653:653
294:2x 3x 7x 7
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 7x 11 = 924
Therefore, the value for common factors is 924.
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 = 101575184273640/(1x924)
LCM = 101575184273640/924
LCM = 109929853110
Thus, we can understand that the LCM of 957,770,718,653,294 is 109929853110.
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FAQs on LCM of 957, 770, 718, 653, 294
1. What is the LCM of 957, 770, 718, 653, 294?
Answer: LCM of 957, 770, 718, 653, 294 is 109929853110.
2. How to calculate the LCM of 957, 770, 718, 653, 294?
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 957, 770, 718, 653, 294.
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}.