LCM of 657, 688, 692, 326, 602
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 657, 688, 692, 326, 602 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 657, 688, 692, 326, 602. So, keep reading to learn more.
Given numbers are 657,688,692,326,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,688,692,326,602 is 89224794288.
Find LCM of 657,688,692,326,602 with Prime Factorization
| 2 | 657, 688, 692, 326, 602 |
| 2 | 657, 344, 346, 163, 301 |
| 43 | 657, 172, 173, 163, 301 |
| 657, 4, 173, 163, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 657 x 4 x 173 x 163 x 7 = 89224794288
Therefore, the lowest common multiple of 657,688,692,326,602 is 89224794288.
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.
657 x 688 x 692 x 326 x 602 = 61386658470144
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.
657 : 1, 3, 9, 73, 219, 657
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
692 : 1, 2, 4, 173, 346, 692
326 : 1, 2, 163, 326
602 : 1, 2, 7, 14, 43, 86, 301, 602
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,688,692,326,602, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
688:2x 2x 2x 2x 43
692:2x 2x 173
326:2x 163
602:2x 7x 43
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 43 = 688
Therefore, the value for common factors is 688.
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 = 61386658470144/(1x688)
LCM = 61386658470144/688
LCM = 89224794288
Thus, we can understand that the LCM of 657,688,692,326,602 is 89224794288.
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FAQs on LCM of 657, 688, 692, 326, 602
1. What is the LCM of 657, 688, 692, 326, 602?
Answer: LCM of 657, 688, 692, 326, 602 is 89224794288.
2. How to calculate the LCM of 657, 688, 692, 326, 602?
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 657, 688, 692, 326, 602.
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}.