Least Common Multiple of 700/53, 524/45, 300/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 700/53, 524/45, 300/503 quickly i.e. 275100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 700/53, 524/45, 300/503 is 275100.

LCM(700/53, 524/45, 300/503) = 275100

LCM of 700/53, 524/45, 300/503

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 700/53,524/45,300/503

Given numbers are 700/53,524/45,300/503

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 700,524,300

Least Common Multiple of Numerators i.e. LCM of 700,524,300 is 275100.

GCF of Denominators means GCF of 53,45,503 as per the given fractions.

GCF of 53,45,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 700,524,300

LCM of Fractions 700/53,524/45,300/503 is 275100

2 700, 524, 300
2 350, 262, 150
5 175, 131, 75
5 35, 131, 15
7, 131, 3

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 7 x 131 x 3 = 275100

Least Common Multiple of 700,524,300 with GCF Formula

Least Common Multiple of 700,524,300 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 700,524,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,524,300) = 4

common factors(in case of two or more numbers have common factors) = 100

GCF(700,524,300) x common factors =4 x 100 = 400

LCM(700,524,300) = ( 700 × 524 × 300 ) / 400

LCM(700,524,300) = 110040000 / 400

LCM(700,524,300) = 275100


Lets's calculate GCF of 53,45,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275100/1

Therefore the LCM of Fractions 700/53,524/45,300/503 is 275100

Greatest Common Factor of 53,45,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,45,503 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 53,45,503 . The biggest common factor number is the GCF number.
So the greatest common factor 53,45,503 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 700/53, 524/45, 300/503

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 700/53, 524/45, 300/503?

Answer: LCM of Numerators as per given numbers 700/53, 524/45, 300/503 is

LCM of Numerators i.e. for 700,524,300 is 275100

GCF of denominators i.e. for 53,45,503 is 1.

Thus, LCM of Fractions is 275100.Finally, LCM of Fractions for 700/53, 524/45, 300/503 is 275100.