Least Common Multiple of 501/350, 6378/3429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/350, 6378/3429 quickly i.e. 1065126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/350, 6378/3429 is 1065126.

LCM(501/350, 6378/3429) = 1065126

LCM of 501/350, 6378/3429

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 501/350,6378/3429

Given numbers are 501/350,6378/3429

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 501,6378

Least Common Multiple of Numerators i.e. LCM of 501,6378 is 1065126.

GCF of Denominators means GCF of 350,3429 as per the given fractions.

GCF of 350,3429 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,6378

LCM of Fractions 501/350,6378/3429 is 1065126

3 501, 6378
167, 2126

∴ So the LCM of the given numbers is 3 x 167 x 2126 = 1065126

Least Common Multiple of 501,6378 with GCF Formula

Least Common Multiple of 501,6378 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 501,6378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,6378) = 3

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

GCF(501,6378) x common factors =3 x 1 = 3

LCM(501,6378) = ( 501 × 6378 ) / 3

LCM(501,6378) = 3195378 / 3

LCM(501,6378) = 1065126


Lets's calculate GCF of 350,3429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1065126/1

Therefore the LCM of Fractions 501/350,6378/3429 is 1065126

Greatest Common Factor of 350,3429 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,3429 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 3429

List of positive integer factors of 3429 that divides 3429 without a remainder.

1,3,9,27,127,381,1143,3429

Greatest Common Factor

We found the factors 350,3429 . The biggest common factor number is the GCF number.
So the greatest common factor 350,3429 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 501/350, 6378/3429

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 501/350, 6378/3429?

Answer: LCM of Numerators as per given numbers 501/350, 6378/3429 is

LCM of Numerators i.e. for 501,6378 is 1065126

GCF of denominators i.e. for 350,3429 is 1.

Thus, LCM of Fractions is 1065126.Finally, LCM of Fractions for 501/350, 6378/3429 is 1065126.