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LCM of 602, 746, 746, 282

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


Find the LCM of 602, 746, 746, 282 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 602, 746, 746, 282. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 602,746,746,282

Given numbers are 602,746,746,282

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

The LCM of 602,746,746,282 is 31660986.

Find LCM of 602,746,746,282 with Prime Factorization


2 602, 746, 746, 282
373 301, 373, 373, 141
301, 1, 1, 141

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

2 x 373 x 301 x 1 x 1 x 141 = 31660986

Therefore, the lowest common multiple of 602,746,746,282 is 31660986.

LCM Formula to Find Lowest Common Multiple of 602,746,746,282

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.

602 x 746 x 746 x 282 = 94476382224

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.

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

746 : 1, 2, 373, 746

746 : 1, 2, 373, 746

282 : 1, 2, 3, 6, 47, 94, 141, 282

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,746,746,282, is 2.

Now, the common factors can be found like this.

602:2x 7x 43

746:2x 373

746:2x 373

282:2x 3x 47

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 373 = 1492

Therefore, the value for common factors is 1492.

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 = 94476382224/(2x1492)

LCM = 94476382224/2984

LCM = 31660986

Thus, we can understand that the LCM of 602,746,746,282 is 31660986.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 602, 746, 746, 282

1. What is the LCM of 602, 746, 746, 282?

Answer: LCM of 602, 746, 746, 282 is 31660986.

2. How to calculate the LCM of 602, 746, 746, 282?

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 602, 746, 746, 282.

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}.