Least Common Multiple of 21/169, 437/833, 754/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 21/169, 437/833, 754/965 quickly i.e. 6919458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/169, 437/833, 754/965 is 6919458.

LCM(21/169, 437/833, 754/965) = 6919458

LCM of 21/169, 437/833, 754/965

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 21/169,437/833,754/965

Given numbers are 21/169,437/833,754/965

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 21,437,754

Least Common Multiple of Numerators i.e. LCM of 21,437,754 is 6919458.

GCF of Denominators means GCF of 169,833,965 as per the given fractions.

GCF of 169,833,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,437,754

LCM of Fractions 21/169,437/833,754/965 is 6919458

Given numbers has no common factors except 1. So, there LCM is their product i.e 6919458

Least Common Multiple of 21,437,754 with GCF Formula

Least Common Multiple of 21,437,754 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 21,437,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,437,754) = 1

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

GCF(21,437,754) x common factors =1 x 1 = 1

LCM(21,437,754) = ( 21 × 437 × 754 ) / 1

LCM(21,437,754) = 6919458 / 1

LCM(21,437,754) = 6919458


Lets's calculate GCF of 169,833,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6919458/1

Therefore the LCM of Fractions 21/169,437/833,754/965 is 6919458

Greatest Common Factor of 169,833,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,833,965 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 169,833,965 . The biggest common factor number is the GCF number.
So the greatest common factor 169,833,965 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 21/169, 437/833, 754/965

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 21/169, 437/833, 754/965?

Answer: LCM of Numerators as per given numbers 21/169, 437/833, 754/965 is

LCM of Numerators i.e. for 21,437,754 is 6919458

GCF of denominators i.e. for 169,833,965 is 1.

Thus, LCM of Fractions is 6919458.Finally, LCM of Fractions for 21/169, 437/833, 754/965 is 6919458.