Least Common Multiple of 343/37, 870/4181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/37, 870/4181 quickly i.e. 298410/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/37, 870/4181 is 298410/37.

LCM(343/37, 870/4181) = 298410/37

LCM of 343/37, 870/4181

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 343/37,870/4181

Given numbers are 343/37,870/4181

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 343,870

Least Common Multiple of Numerators i.e. LCM of 343,870 is 298410.

GCF of Denominators means GCF of 37,4181 as per the given fractions.

GCF of 37,4181 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,870

LCM of Fractions 343/37,870/4181 is 298410/37

Given numbers has no common factors except 1. So, there LCM is their product i.e 298410

Least Common Multiple of 343,870 with GCF Formula

Least Common Multiple of 343,870 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 343,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,870) = 1

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

GCF(343,870) x common factors =1 x 1 = 1

LCM(343,870) = ( 343 × 870 ) / 1

LCM(343,870) = 298410 / 1

LCM(343,870) = 298410


Lets's calculate GCF of 37,4181

37 37, 4181
1, 113

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298410/37

Therefore the LCM of Fractions 343/37,870/4181 is 298410/37

Greatest Common Factor of 37,4181 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,4181 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 4181

List of positive integer factors of 4181 that divides 4181 without a remainder.

1,37,113,4181

Greatest Common Factor

We found the factors 37,4181 . The biggest common factor number is the GCF number.
So the greatest common factor 37,4181 is 37.


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 343/37, 870/4181

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 343/37, 870/4181?

Answer: LCM of Numerators as per given numbers 343/37, 870/4181 is

LCM of Numerators i.e. for 343,870 is 298410

GCF of denominators i.e. for 37,4181 is 37.

Thus, LCM of Fractions is 298410/37.Finally, LCM of Fractions for 343/37, 870/4181 is 298410/37.