Least Common Multiple of 343/35, 4504/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/35, 4504/660 quickly i.e. 1544872/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/35, 4504/660 is 1544872/5.

LCM(343/35, 4504/660) = 1544872/5

LCM of 343/35, 4504/660

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 343/35,4504/660

Given numbers are 343/35,4504/660

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 343,4504

Least Common Multiple of Numerators i.e. LCM of 343,4504 is 1544872.

GCF of Denominators means GCF of 35,660 as per the given fractions.

GCF of 35,660 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,4504

LCM of Fractions 343/35,4504/660 is 1544872/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 1544872

Least Common Multiple of 343,4504 with GCF Formula

Least Common Multiple of 343,4504 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 343,4504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,4504) = 1

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

GCF(343,4504) x common factors =1 x 1 = 1

LCM(343,4504) = ( 343 × 4504 ) / 1

LCM(343,4504) = 1544872 / 1

LCM(343,4504) = 1544872


Lets's calculate GCF of 35,660

5 35, 660
7, 132

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1544872/5

Therefore the LCM of Fractions 343/35,4504/660 is 1544872/5

Greatest Common Factor of 35,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,660 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 35,660 . The biggest common factor number is the GCF number.
So the greatest common factor 35,660 is 5.


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 343/35, 4504/660

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 343/35, 4504/660?

Answer: LCM of Numerators as per given numbers 343/35, 4504/660 is

LCM of Numerators i.e. for 343,4504 is 1544872

GCF of denominators i.e. for 35,660 is 5.

Thus, LCM of Fractions is 1544872/5.Finally, LCM of Fractions for 343/35, 4504/660 is 1544872/5.