Least Common Multiple of 10/601, 212/549, 725/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/601, 212/549, 725/550 quickly i.e. 153700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/601, 212/549, 725/550 is 153700.

LCM(10/601, 212/549, 725/550) = 153700

LCM of 10/601, 212/549, 725/550

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 10/601,212/549,725/550

Given numbers are 10/601,212/549,725/550

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 10,212,725

Least Common Multiple of Numerators i.e. LCM of 10,212,725 is 153700.

GCF of Denominators means GCF of 601,549,550 as per the given fractions.

GCF of 601,549,550 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,212,725

LCM of Fractions 10/601,212/549,725/550 is 153700

2 10, 212, 725
5 5, 106, 725
1, 106, 145

∴ So the LCM of the given numbers is 2 x 5 x 1 x 106 x 145 = 153700

Least Common Multiple of 10,212,725 with GCF Formula

Least Common Multiple of 10,212,725 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 10,212,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,212,725) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(10,212,725) x common factors =1 x 10 = 10

LCM(10,212,725) = ( 10 × 212 × 725 ) / 10

LCM(10,212,725) = 1537000 / 10

LCM(10,212,725) = 153700


Lets's calculate GCF of 601,549,550

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153700/1

Therefore the LCM of Fractions 10/601,212/549,725/550 is 153700

Greatest Common Factor of 601,549,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,549,550 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 601,549,550 . The biggest common factor number is the GCF number.
So the greatest common factor 601,549,550 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 10/601, 212/549, 725/550

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 10/601, 212/549, 725/550?

Answer: LCM of Numerators as per given numbers 10/601, 212/549, 725/550 is

LCM of Numerators i.e. for 10,212,725 is 153700

GCF of denominators i.e. for 601,549,550 is 1.

Thus, LCM of Fractions is 153700.Finally, LCM of Fractions for 10/601, 212/549, 725/550 is 153700.