LCM of 690, 270, 688, 942, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 270, 688, 942, 961 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 690, 270, 688, 942, 961. So, keep reading to learn more.
Given numbers are 690,270,688,942,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,270,688,942,961 is 322309482480.
Find LCM of 690,270,688,942,961 with Prime Factorization
| 2 | 690, 270, 688, 942, 961 |
| 3 | 345, 135, 344, 471, 961 |
| 5 | 115, 45, 344, 157, 961 |
| 23, 9, 344, 157, 961 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 9 x 344 x 157 x 961 = 322309482480
Therefore, the lowest common multiple of 690,270,688,942,961 is 322309482480.
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.
690 x 270 x 688 x 942 x 961 = 116031413692800
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
942 : 1, 2, 3, 6, 157, 314, 471, 942
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,270,688,942,961, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
270:2x 3x 3x 3x 5
688:2x 2x 2x 2x 43
942:2x 3x 157
961:31x 31
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 2x 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 116031413692800/(1x360)
LCM = 116031413692800/360
LCM = 322309482480
Thus, we can understand that the LCM of 690,270,688,942,961 is 322309482480.
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FAQs on LCM of 690, 270, 688, 942, 961
1. What is the LCM of 690, 270, 688, 942, 961?
Answer: LCM of 690, 270, 688, 942, 961 is 322309482480.
2. How to calculate the LCM of 690, 270, 688, 942, 961?
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 690, 270, 688, 942, 961.
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}.