Least Common Multiple of 65/175, 716/246, 914/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/175, 716/246, 914/421 quickly i.e. 21268780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/175, 716/246, 914/421 is 21268780.

LCM(65/175, 716/246, 914/421) = 21268780

LCM of 65/175, 716/246, 914/421

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 65/175,716/246,914/421

Given numbers are 65/175,716/246,914/421

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 65,716,914

Least Common Multiple of Numerators i.e. LCM of 65,716,914 is 21268780.

GCF of Denominators means GCF of 175,246,421 as per the given fractions.

GCF of 175,246,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,716,914

LCM of Fractions 65/175,716/246,914/421 is 21268780

2 65, 716, 914
65, 358, 457

∴ So the LCM of the given numbers is 2 x 65 x 358 x 457 = 21268780

Least Common Multiple of 65,716,914 with GCF Formula

Least Common Multiple of 65,716,914 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 65,716,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,716,914) = 1

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

GCF(65,716,914) x common factors =1 x 2 = 2

LCM(65,716,914) = ( 65 × 716 × 914 ) / 2

LCM(65,716,914) = 42537560 / 2

LCM(65,716,914) = 21268780


Lets's calculate GCF of 175,246,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21268780/1

Therefore the LCM of Fractions 65/175,716/246,914/421 is 21268780

Greatest Common Factor of 175,246,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,246,421 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 175,246,421 . The biggest common factor number is the GCF number.
So the greatest common factor 175,246,421 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 65/175, 716/246, 914/421

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 65/175, 716/246, 914/421?

Answer: LCM of Numerators as per given numbers 65/175, 716/246, 914/421 is

LCM of Numerators i.e. for 65,716,914 is 21268780

GCF of denominators i.e. for 175,246,421 is 1.

Thus, LCM of Fractions is 21268780.Finally, LCM of Fractions for 65/175, 716/246, 914/421 is 21268780.