Least Common Multiple of 67/43, 134/91, 698/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/43, 134/91, 698/634 quickly i.e. 46766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/43, 134/91, 698/634 is 46766.

LCM(67/43, 134/91, 698/634) = 46766

LCM of 67/43, 134/91, 698/634

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 67/43,134/91,698/634

Given numbers are 67/43,134/91,698/634

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 67,134,698

Least Common Multiple of Numerators i.e. LCM of 67,134,698 is 46766.

GCF of Denominators means GCF of 43,91,634 as per the given fractions.

GCF of 43,91,634 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,134,698

LCM of Fractions 67/43,134/91,698/634 is 46766

2 67, 134, 698
67 67, 67, 349
1, 1, 349

∴ So the LCM of the given numbers is 2 x 67 x 1 x 1 x 349 = 46766

Least Common Multiple of 67,134,698 with GCF Formula

Least Common Multiple of 67,134,698 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 67,134,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,134,698) = 1

common factors(in case of two or more numbers have common factors) = 134

GCF(67,134,698) x common factors =1 x 134 = 134

LCM(67,134,698) = ( 67 × 134 × 698 ) / 134

LCM(67,134,698) = 6266644 / 134

LCM(67,134,698) = 46766


Lets's calculate GCF of 43,91,634

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46766/1

Therefore the LCM of Fractions 67/43,134/91,698/634 is 46766

Greatest Common Factor of 43,91,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,91,634 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 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 43,91,634 . The biggest common factor number is the GCF number.
So the greatest common factor 43,91,634 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 67/43, 134/91, 698/634

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 67/43, 134/91, 698/634?

Answer: LCM of Numerators as per given numbers 67/43, 134/91, 698/634 is

LCM of Numerators i.e. for 67,134,698 is 46766

GCF of denominators i.e. for 43,91,634 is 1.

Thus, LCM of Fractions is 46766.Finally, LCM of Fractions for 67/43, 134/91, 698/634 is 46766.