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LCM of 754, 658, 344, 602, 932

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 754, 658, 344, 602, 932 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 754, 658, 344, 602, 932. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,658,344,602,932

Given numbers are 754,658,344,602,932

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 754,658,344,602,932 is 9941493016.

Find LCM of 754,658,344,602,932 with Prime Factorization


2 754, 658, 344, 602, 932
2 377, 329, 172, 301, 466
7 377, 329, 86, 301, 233
43 377, 47, 86, 43, 233
377, 47, 2, 1, 233

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 7 x 43 x 377 x 47 x 2 x 1 x 233 = 9941493016

Therefore, the lowest common multiple of 754,658,344,602,932 is 9941493016.

LCM Formula to Find Lowest Common Multiple of 754,658,344,602,932

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.

754 x 658 x 344 x 602 x 932 = 95756460730112

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

658 : 1, 2, 7, 14, 47, 94, 329, 658

344 : 1, 2, 4, 8, 43, 86, 172, 344

602 : 1, 2, 7, 14, 43, 86, 301, 602

932 : 1, 2, 4, 233, 466, 932

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,658,344,602,932, is 2.

Now, the common factors can be found like this.

754:2x 13x 29

658:2x 7x 47

344:2x 2x 2x 43

602:2x 7x 43

932:2x 2x 233

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 7x 43 = 4816

Therefore, the value for common factors is 4816.

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 = 95756460730112/(2x4816)

LCM = 95756460730112/9632

LCM = 9941493016

Thus, we can understand that the LCM of 754,658,344,602,932 is 9941493016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 658, 344, 602, 932

1. What is the LCM of 754, 658, 344, 602, 932?

Answer: LCM of 754, 658, 344, 602, 932 is 9941493016.

2. How to calculate the LCM of 754, 658, 344, 602, 932?

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 754, 658, 344, 602, 932.

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}.