Least Common Multiple of 49/421, 88/825, 345/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/421, 88/825, 345/194 quickly i.e. 1487640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/421, 88/825, 345/194 is 1487640.

LCM(49/421, 88/825, 345/194) = 1487640

LCM of 49/421, 88/825, 345/194

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 49/421,88/825,345/194

Given numbers are 49/421,88/825,345/194

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 49,88,345

Least Common Multiple of Numerators i.e. LCM of 49,88,345 is 1487640.

GCF of Denominators means GCF of 421,825,194 as per the given fractions.

GCF of 421,825,194 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,88,345

LCM of Fractions 49/421,88/825,345/194 is 1487640

Given numbers has no common factors except 1. So, there LCM is their product i.e 1487640

Least Common Multiple of 49,88,345 with GCF Formula

Least Common Multiple of 49,88,345 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 49,88,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,88,345) = 1

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

GCF(49,88,345) x common factors =1 x 1 = 1

LCM(49,88,345) = ( 49 × 88 × 345 ) / 1

LCM(49,88,345) = 1487640 / 1

LCM(49,88,345) = 1487640


Lets's calculate GCF of 421,825,194

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1487640/1

Therefore the LCM of Fractions 49/421,88/825,345/194 is 1487640

Greatest Common Factor of 421,825,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,825,194 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 421,825,194 . The biggest common factor number is the GCF number.
So the greatest common factor 421,825,194 is 1.


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 49/421, 88/825, 345/194

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 49/421, 88/825, 345/194?

Answer: LCM of Numerators as per given numbers 49/421, 88/825, 345/194 is

LCM of Numerators i.e. for 49,88,345 is 1487640

GCF of denominators i.e. for 421,825,194 is 1.

Thus, LCM of Fractions is 1487640.Finally, LCM of Fractions for 49/421, 88/825, 345/194 is 1487640.