Least Common Multiple of 340/164, 4015/6150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/164, 4015/6150 quickly i.e. 273020/82 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/164, 4015/6150 is 273020/82.

LCM(340/164, 4015/6150) = 273020/82

LCM of 340/164, 4015/6150

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 340/164,4015/6150

Given numbers are 340/164,4015/6150

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 340,4015

Least Common Multiple of Numerators i.e. LCM of 340,4015 is 273020.

GCF of Denominators means GCF of 164,6150 as per the given fractions.

GCF of 164,6150 is 82 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,4015

LCM of Fractions 340/164,4015/6150 is 273020/82

5 340, 4015
68, 803

∴ So the LCM of the given numbers is 5 x 68 x 803 = 273020

Least Common Multiple of 340,4015 with GCF Formula

Least Common Multiple of 340,4015 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 340,4015 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,4015) = 5

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

GCF(340,4015) x common factors =5 x 1 = 5

LCM(340,4015) = ( 340 × 4015 ) / 5

LCM(340,4015) = 1365100 / 5

LCM(340,4015) = 273020


Lets's calculate GCF of 164,6150

2 164, 6150
41 82, 3075
2, 75

∴ So the GCF of the given numbers is 2 x 41 = 82

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273020/82

Therefore the LCM of Fractions 340/164,4015/6150 is 273020/82

Greatest Common Factor of 164,6150 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,6150 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 6150

List of positive integer factors of 6150 that divides 6150 without a remainder.

1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150

Greatest Common Factor

We found the factors 164,6150 . The biggest common factor number is the GCF number.
So the greatest common factor 164,6150 is 82.


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 340/164, 4015/6150

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 340/164, 4015/6150?

Answer: LCM of Numerators as per given numbers 340/164, 4015/6150 is

LCM of Numerators i.e. for 340,4015 is 273020

GCF of denominators i.e. for 164,6150 is 82.

Thus, LCM of Fractions is 273020/82.Finally, LCM of Fractions for 340/164, 4015/6150 is 273020/82.