Least Common Multiple of 70/43, 46/602, 279/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/43, 46/602, 279/400 quickly i.e. 449190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/43, 46/602, 279/400 is 449190.

LCM(70/43, 46/602, 279/400) = 449190

LCM of 70/43, 46/602, 279/400

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 70/43,46/602,279/400

Given numbers are 70/43,46/602,279/400

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 70,46,279

Least Common Multiple of Numerators i.e. LCM of 70,46,279 is 449190.

GCF of Denominators means GCF of 43,602,400 as per the given fractions.

GCF of 43,602,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,46,279

LCM of Fractions 70/43,46/602,279/400 is 449190

2 70, 46, 279
35, 23, 279

∴ So the LCM of the given numbers is 2 x 35 x 23 x 279 = 449190

Least Common Multiple of 70,46,279 with GCF Formula

Least Common Multiple of 70,46,279 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 70,46,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,46,279) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(70,46,279) x common factors =1 x 2 = 2

LCM(70,46,279) = ( 70 × 46 × 279 ) / 2

LCM(70,46,279) = 898380 / 2

LCM(70,46,279) = 449190


Lets's calculate GCF of 43,602,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449190/1

Therefore the LCM of Fractions 70/43,46/602,279/400 is 449190

Greatest Common Factor of 43,602,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,602,400 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 43,602,400 . The biggest common factor number is the GCF number.
So the greatest common factor 43,602,400 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 70/43, 46/602, 279/400

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 70/43, 46/602, 279/400?

Answer: LCM of Numerators as per given numbers 70/43, 46/602, 279/400 is

LCM of Numerators i.e. for 70,46,279 is 449190

GCF of denominators i.e. for 43,602,400 is 1.

Thus, LCM of Fractions is 449190.Finally, LCM of Fractions for 70/43, 46/602, 279/400 is 449190.