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LCM of 746, 611, 542, 672

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


Find the LCM of 746, 611, 542, 672 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 746, 611, 542, 672. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 746,611,542,672

Given numbers are 746,611,542,672

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

The LCM of 746,611,542,672 is 41503871136.

Find LCM of 746,611,542,672 with Prime Factorization


2 746, 611, 542, 672
373, 611, 271, 336

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

2 x 373 x 611 x 271 x 336 = 41503871136

Therefore, the lowest common multiple of 746,611,542,672 is 41503871136.

LCM Formula to Find Lowest Common Multiple of 746,611,542,672

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.

746 x 611 x 542 x 672 = 166015484544

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.

746 : 1, 2, 373, 746

611 : 1, 13, 47, 611

542 : 1, 2, 271, 542

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,611,542,672, is 1.

Now, the common factors can be found like this.

746:2x 373

611:13x 47

542:2x 271

672:2x 2x 2x 2x 2x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 166015484544/(1x4)

LCM = 166015484544/4

LCM = 41503871136

Thus, we can understand that the LCM of 746,611,542,672 is 41503871136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 746, 611, 542, 672

1. What is the LCM of 746, 611, 542, 672?

Answer: LCM of 746, 611, 542, 672 is 41503871136.

2. How to calculate the LCM of 746, 611, 542, 672?

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 746, 611, 542, 672.

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}.