LCM of 532, 692, 738, 697, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 692, 738, 697, 152 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 532, 692, 738, 697, 152. So, keep reading to learn more.
Given numbers are 532,692,738,697,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,692,738,697,152 is 1154683656.
Find LCM of 532,692,738,697,152 with Prime Factorization
| 2 | 532, 692, 738, 697, 152 |
| 2 | 266, 346, 369, 697, 76 |
| 19 | 133, 173, 369, 697, 38 |
| 41 | 7, 173, 369, 697, 2 |
| 7, 173, 9, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 41 x 7 x 173 x 9 x 17 x 2 = 1154683656
Therefore, the lowest common multiple of 532,692,738,697,152 is 1154683656.
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.
532 x 692 x 738 x 697 x 152 = 28783954176768
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
692 : 1, 2, 4, 173, 346, 692
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
697 : 1, 17, 41, 697
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,692,738,697,152, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
692:2x 2x 173
738:2x 3x 3x 41
697:17x 41
152:2x 2x 2x 19
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 2x 19x 41 = 24928
Therefore, the value for common factors is 24928.
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 = 28783954176768/(1x24928)
LCM = 28783954176768/24928
LCM = 1154683656
Thus, we can understand that the LCM of 532,692,738,697,152 is 1154683656.
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FAQs on LCM of 532, 692, 738, 697, 152
1. What is the LCM of 532, 692, 738, 697, 152?
Answer: LCM of 532, 692, 738, 697, 152 is 1154683656.
2. How to calculate the LCM of 532, 692, 738, 697, 152?
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 532, 692, 738, 697, 152.
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}.