Least Common Multiple of 935/49, 435/69, 668/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 935/49, 435/69, 668/667 quickly i.e. 54338460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 935/49, 435/69, 668/667 is 54338460.

LCM(935/49, 435/69, 668/667) = 54338460

LCM of 935/49, 435/69, 668/667

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 935/49,435/69,668/667

Given numbers are 935/49,435/69,668/667

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 935,435,668

Least Common Multiple of Numerators i.e. LCM of 935,435,668 is 54338460.

GCF of Denominators means GCF of 49,69,667 as per the given fractions.

GCF of 49,69,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 935,435,668

LCM of Fractions 935/49,435/69,668/667 is 54338460

5 935, 435, 668
187, 87, 668

∴ So the LCM of the given numbers is 5 x 187 x 87 x 668 = 54338460

Least Common Multiple of 935,435,668 with GCF Formula

Least Common Multiple of 935,435,668 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 935,435,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,435,668) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(935,435,668) x common factors =1 x 5 = 5

LCM(935,435,668) = ( 935 × 435 × 668 ) / 5

LCM(935,435,668) = 271692300 / 5

LCM(935,435,668) = 54338460


Lets's calculate GCF of 49,69,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54338460/1

Therefore the LCM of Fractions 935/49,435/69,668/667 is 54338460

Greatest Common Factor of 49,69,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,69,667 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 49,69,667 . The biggest common factor number is the GCF number.
So the greatest common factor 49,69,667 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 935/49, 435/69, 668/667

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 935/49, 435/69, 668/667?

Answer: LCM of Numerators as per given numbers 935/49, 435/69, 668/667 is

LCM of Numerators i.e. for 935,435,668 is 54338460

GCF of denominators i.e. for 49,69,667 is 1.

Thus, LCM of Fractions is 54338460.Finally, LCM of Fractions for 935/49, 435/69, 668/667 is 54338460.