Least Common Multiple of 49/174, 2878/5626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/174, 2878/5626 quickly i.e. 141022/58 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/174, 2878/5626 is 141022/58.

LCM(49/174, 2878/5626) = 141022/58

LCM of 49/174, 2878/5626

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 49/174,2878/5626

Given numbers are 49/174,2878/5626

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 49,2878

Least Common Multiple of Numerators i.e. LCM of 49,2878 is 141022.

GCF of Denominators means GCF of 174,5626 as per the given fractions.

GCF of 174,5626 is 58 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,2878

LCM of Fractions 49/174,2878/5626 is 141022/58

Given numbers has no common factors except 1. So, there LCM is their product i.e 141022

Least Common Multiple of 49,2878 with GCF Formula

Least Common Multiple of 49,2878 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 49,2878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,2878) = 1

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

GCF(49,2878) x common factors =1 x 1 = 1

LCM(49,2878) = ( 49 × 2878 ) / 1

LCM(49,2878) = 141022 / 1

LCM(49,2878) = 141022


Lets's calculate GCF of 174,5626

2 174, 5626
29 87, 2813
3, 97

∴ So the GCF of the given numbers is 2 x 29 = 58

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141022/58

Therefore the LCM of Fractions 49/174,2878/5626 is 141022/58

Greatest Common Factor of 174,5626 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,5626 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 5626

List of positive integer factors of 5626 that divides 5626 without a remainder.

1,2,29,58,97,194,2813,5626

Greatest Common Factor

We found the factors 174,5626 . The biggest common factor number is the GCF number.
So the greatest common factor 174,5626 is 58.


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 49/174, 2878/5626

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 49/174, 2878/5626?

Answer: LCM of Numerators as per given numbers 49/174, 2878/5626 is

LCM of Numerators i.e. for 49,2878 is 141022

GCF of denominators i.e. for 174,5626 is 58.

Thus, LCM of Fractions is 141022/58.Finally, LCM of Fractions for 49/174, 2878/5626 is 141022/58.