Least Common Multiple of 214, 548, 470, 735

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 214, 548, 470, 735 i.e. 2025580620 smallest integer divisible by all numbers.

Least common multiple (LCM) of 214, 548, 470, 735 is 2025580620.

LCM(214, 548, 470, 735) = 2025580620

LCM of 214, 548, 470, 735

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

LCM of:

Least Common Multiple of 214,548,470,735

Least Common Multiple (LCM) of 214,548,470,735 is 2025580620

2 214, 548, 470, 735
5 107, 274, 235, 735
107, 274, 47, 147

∴ So the LCM of the given numbers is 2 x 5 x 107 x 274 x 47 x 147 = 2025580620

Least Common Multiple of 214,548,470,735 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 214,548,470,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,548,470,735) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(214,548,470,735) x common factors =1 x 20 = 20

LCM(214,548,470,735) = ( 214 × 548 × 470 × 735 ) / 20

LCM(214,548,470,735) = 40511612400 / 20

LCM(214,548,470,735) = 2025580620

∴ Least Common Multiple of 214,548,470,735 is 2025580620

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 214, 548, 470, 735

1. What is the LCM of 214, 548, 470, 735?

Answer: LCM of 214, 548, 470, 735 is 2025580620.

2. What are the Factors of 2025580620?

Answer: Factors of 2025580620 are . There are integers that are factors of 2025580620

3. How to Find the LCM of 214, 548, 470, 735 ?

Least Common Multiple of 214, 548, 470, 735.

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(214, 548, 470, 735) = 2 x 2 x 3 x 5 x 7 x 7 x 47 x 107 x 137 = 2025580620.