Least Common Multiple of 1615/554, 1774/3210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1615/554, 1774/3210 quickly i.e. 1432505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1615/554, 1774/3210 is 1432505.

LCM(1615/554, 1774/3210) = 1432505

LCM of 1615/554, 1774/3210

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 1615/554,1774/3210

Given numbers are 1615/554,1774/3210

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 1615,1774

Least Common Multiple of Numerators i.e. LCM of 1615,1774 is 2865010.

GCF of Denominators means GCF of 554,3210 as per the given fractions.

GCF of 554,3210 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1615,1774

LCM of Fractions 1615/554,1774/3210 is 1432505

Given numbers has no common factors except 1. So, there LCM is their product i.e 2865010

Least Common Multiple of 1615,1774 with GCF Formula

Least Common Multiple of 1615,1774 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 1615,1774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1615,1774) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1615,1774) x common factors =1 x 1 = 1

LCM(1615,1774) = ( 1615 × 1774 ) / 1

LCM(1615,1774) = 2865010 / 1

LCM(1615,1774) = 2865010


Lets's calculate GCF of 554,3210

2 554, 3210
277, 1605

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2865010/2

Therefore the LCM of Fractions 1615/554,1774/3210 is 1432505

Greatest Common Factor of 554,3210 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,3210 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 3210

List of positive integer factors of 3210 that divides 3210 without a remainder.

1,2,3,5,6,10,15,30,107,214,321,535,642,1070,1605,3210

Greatest Common Factor

We found the factors 554,3210 . The biggest common factor number is the GCF number.
So the greatest common factor 554,3210 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1615/554, 1774/3210

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 1615/554, 1774/3210?

Answer: LCM of Numerators as per given numbers 1615/554, 1774/3210 is

LCM of Numerators i.e. for 1615,1774 is 2865010

GCF of denominators i.e. for 554,3210 is 2.

Thus, LCM of Fractions is 1432505.Finally, LCM of Fractions for 1615/554, 1774/3210 is 1432505.