LCM of 714, 264, 931, 688, 547
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 264, 931, 688, 547 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 714, 264, 931, 688, 547. So, keep reading to learn more.
Given numbers are 714,264,931,688,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,264,931,688,547 is 196556905776.
Find LCM of 714,264,931,688,547 with Prime Factorization
| 2 | 714, 264, 931, 688, 547 |
| 2 | 357, 132, 931, 344, 547 |
| 2 | 357, 66, 931, 172, 547 |
| 3 | 357, 33, 931, 86, 547 |
| 7 | 119, 11, 931, 86, 547 |
| 17, 11, 133, 86, 547 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 17 x 11 x 133 x 86 x 547 = 196556905776
Therefore, the lowest common multiple of 714,264,931,688,547 is 196556905776.
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.
714 x 264 x 931 x 688 x 547 = 66043120340736
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
931 : 1, 7, 19, 49, 133, 931
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,264,931,688,547, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
264:2x 2x 2x 3x 11
931:7x 7x 19
688:2x 2x 2x 2x 43
547:547
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 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 66043120340736/(1x336)
LCM = 66043120340736/336
LCM = 196556905776
Thus, we can understand that the LCM of 714,264,931,688,547 is 196556905776.
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FAQs on LCM of 714, 264, 931, 688, 547
1. What is the LCM of 714, 264, 931, 688, 547?
Answer: LCM of 714, 264, 931, 688, 547 is 196556905776.
2. How to calculate the LCM of 714, 264, 931, 688, 547?
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 714, 264, 931, 688, 547.
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}.