Least Common Multiple of 674/49, 410/7203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/49, 410/7203 quickly i.e. 138170/49 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/49, 410/7203 is 138170/49.

LCM(674/49, 410/7203) = 138170/49

LCM of 674/49, 410/7203

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 674/49,410/7203

Given numbers are 674/49,410/7203

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 674,410

Least Common Multiple of Numerators i.e. LCM of 674,410 is 138170.

GCF of Denominators means GCF of 49,7203 as per the given fractions.

GCF of 49,7203 is 49 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,410

LCM of Fractions 674/49,410/7203 is 138170/49

2 674, 410
337, 205

∴ So the LCM of the given numbers is 2 x 337 x 205 = 138170

Least Common Multiple of 674,410 with GCF Formula

Least Common Multiple of 674,410 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 674,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,410) = 2

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

GCF(674,410) x common factors =2 x 1 = 2

LCM(674,410) = ( 674 × 410 ) / 2

LCM(674,410) = 276340 / 2

LCM(674,410) = 138170


Lets's calculate GCF of 49,7203

7 49, 7203
7 7, 1029
1, 147

∴ So the GCF of the given numbers is 7 x 7 = 49

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138170/49

Therefore the LCM of Fractions 674/49,410/7203 is 138170/49

Greatest Common Factor of 49,7203 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,7203 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 7203

List of positive integer factors of 7203 that divides 7203 without a remainder.

1,3,7,21,49,147,343,1029,2401,7203

Greatest Common Factor

We found the factors 49,7203 . The biggest common factor number is the GCF number.
So the greatest common factor 49,7203 is 49.


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 674/49, 410/7203

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 674/49, 410/7203?

Answer: LCM of Numerators as per given numbers 674/49, 410/7203 is

LCM of Numerators i.e. for 674,410 is 138170

GCF of denominators i.e. for 49,7203 is 49.

Thus, LCM of Fractions is 138170/49.Finally, LCM of Fractions for 674/49, 410/7203 is 138170/49.