Least Common Multiple of 210/74, 905/2548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/74, 905/2548 quickly i.e. 19005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/74, 905/2548 is 19005.

LCM(210/74, 905/2548) = 19005

LCM of 210/74, 905/2548

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 210/74,905/2548

Given numbers are 210/74,905/2548

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 210,905

Least Common Multiple of Numerators i.e. LCM of 210,905 is 38010.

GCF of Denominators means GCF of 74,2548 as per the given fractions.

GCF of 74,2548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,905

LCM of Fractions 210/74,905/2548 is 19005

5 210, 905
42, 181

∴ So the LCM of the given numbers is 5 x 42 x 181 = 38010

Least Common Multiple of 210,905 with GCF Formula

Least Common Multiple of 210,905 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 210,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,905) = 5

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

GCF(210,905) x common factors =5 x 1 = 5

LCM(210,905) = ( 210 × 905 ) / 5

LCM(210,905) = 190050 / 5

LCM(210,905) = 38010


Lets's calculate GCF of 74,2548

2 74, 2548
37, 1274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38010/2

Therefore the LCM of Fractions 210/74,905/2548 is 19005

Greatest Common Factor of 74,2548 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,2548 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 2548

List of positive integer factors of 2548 that divides 2548 without a remainder.

1,2,4,7,13,14,26,28,49,52,91,98,182,196,364,637,1274,2548

Greatest Common Factor

We found the factors 74,2548 . The biggest common factor number is the GCF number.
So the greatest common factor 74,2548 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 210/74, 905/2548

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 210/74, 905/2548?

Answer: LCM of Numerators as per given numbers 210/74, 905/2548 is

LCM of Numerators i.e. for 210,905 is 38010

GCF of denominators i.e. for 74,2548 is 2.

Thus, LCM of Fractions is 19005.Finally, LCM of Fractions for 210/74, 905/2548 is 19005.