Least Common Multiple of 69/573, 100/474, 700/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/573, 100/474, 700/544 quickly i.e. 48300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/573, 100/474, 700/544 is 48300.

LCM(69/573, 100/474, 700/544) = 48300

LCM of 69/573, 100/474, 700/544

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 69/573,100/474,700/544

Given numbers are 69/573,100/474,700/544

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 69,100,700

Least Common Multiple of Numerators i.e. LCM of 69,100,700 is 48300.

GCF of Denominators means GCF of 573,474,544 as per the given fractions.

GCF of 573,474,544 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,100,700

LCM of Fractions 69/573,100/474,700/544 is 48300

2 69, 100, 700
2 69, 50, 350
5 69, 25, 175
5 69, 5, 35
69, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 69 x 1 x 7 = 48300

Least Common Multiple of 69,100,700 with GCF Formula

Least Common Multiple of 69,100,700 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 69,100,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,100,700) = 1

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

GCF(69,100,700) x common factors =1 x 100 = 100

LCM(69,100,700) = ( 69 × 100 × 700 ) / 100

LCM(69,100,700) = 4830000 / 100

LCM(69,100,700) = 48300


Lets's calculate GCF of 573,474,544

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48300/1

Therefore the LCM of Fractions 69/573,100/474,700/544 is 48300

Greatest Common Factor of 573,474,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,474,544 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 573,474,544 . The biggest common factor number is the GCF number.
So the greatest common factor 573,474,544 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 69/573, 100/474, 700/544

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 69/573, 100/474, 700/544?

Answer: LCM of Numerators as per given numbers 69/573, 100/474, 700/544 is

LCM of Numerators i.e. for 69,100,700 is 48300

GCF of denominators i.e. for 573,474,544 is 1.

Thus, LCM of Fractions is 48300.Finally, LCM of Fractions for 69/573, 100/474, 700/544 is 48300.