Least Common Multiple of 546/25, 404/67, 917/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/25, 404/67, 917/606 quickly i.e. 14448252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/25, 404/67, 917/606 is 14448252.

LCM(546/25, 404/67, 917/606) = 14448252

LCM of 546/25, 404/67, 917/606

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 546/25,404/67,917/606

Given numbers are 546/25,404/67,917/606

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 546,404,917

Least Common Multiple of Numerators i.e. LCM of 546,404,917 is 14448252.

GCF of Denominators means GCF of 25,67,606 as per the given fractions.

GCF of 25,67,606 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,404,917

LCM of Fractions 546/25,404/67,917/606 is 14448252

2 546, 404, 917
7 273, 202, 917
39, 202, 131

∴ So the LCM of the given numbers is 2 x 7 x 39 x 202 x 131 = 14448252

Least Common Multiple of 546,404,917 with GCF Formula

Least Common Multiple of 546,404,917 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 546,404,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,404,917) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(546,404,917) x common factors =1 x 14 = 14

LCM(546,404,917) = ( 546 × 404 × 917 ) / 14

LCM(546,404,917) = 202275528 / 14

LCM(546,404,917) = 14448252


Lets's calculate GCF of 25,67,606

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14448252/1

Therefore the LCM of Fractions 546/25,404/67,917/606 is 14448252

Greatest Common Factor of 25,67,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,67,606 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 25,67,606 . The biggest common factor number is the GCF number.
So the greatest common factor 25,67,606 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 546/25, 404/67, 917/606

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 546/25, 404/67, 917/606?

Answer: LCM of Numerators as per given numbers 546/25, 404/67, 917/606 is

LCM of Numerators i.e. for 546,404,917 is 14448252

GCF of denominators i.e. for 25,67,606 is 1.

Thus, LCM of Fractions is 14448252.Finally, LCM of Fractions for 546/25, 404/67, 917/606 is 14448252.