Least Common Multiple of 753, 660, 850, 880, 749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 753, 660, 850, 880, 749 i.e. 42186975600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 753, 660, 850, 880, 749 is 42186975600.

LCM(753, 660, 850, 880, 749) = 42186975600

LCM of 753, 660, 850, 880, 749

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 753,660,850,880,749

Least Common Multiple (LCM) of 753,660,850,880,749 is 42186975600

2 753, 660, 850, 880, 749
2 753, 330, 425, 440, 749
3 753, 165, 425, 220, 749
5 251, 55, 425, 220, 749
11 251, 11, 85, 44, 749
251, 1, 85, 4, 749

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 11 x 251 x 1 x 85 x 4 x 749 = 42186975600

Least Common Multiple of 753,660,850,880,749 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 753,660,850,880,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,660,850,880,749) = 1

common factors(in case of two or more numbers have common factors) = 6600

GCF(753,660,850,880,749) x common factors =1 x 6600 = 6600

LCM(753,660,850,880,749) = ( 753 × 660 × 850 × 880 × 749 ) / 6600

LCM(753,660,850,880,749) = 278434038960000 / 6600

LCM(753,660,850,880,749) = 42186975600

∴ Least Common Multiple of 753,660,850,880,749 is 42186975600

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 753, 660, 850, 880, 749

1. What is the LCM of 753, 660, 850, 880, 749?

Answer: LCM of 753, 660, 850, 880, 749 is 42186975600.

2. What are the Factors of 42186975600?

Answer: Factors of 42186975600 are . There are integers that are factors of 42186975600

3. How to Find the LCM of 753, 660, 850, 880, 749 ?

Least Common Multiple of 753, 660, 850, 880, 749.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(753, 660, 850, 880, 749) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11 x 17 x 107 x 251 = 42186975600.