Least Common Multiple of 553/752, 621/749, 869/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 553/752, 621/749, 869/721 quickly i.e. 3777543 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 553/752, 621/749, 869/721 is 3777543.

LCM(553/752, 621/749, 869/721) = 3777543

LCM of 553/752, 621/749, 869/721

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 553/752,621/749,869/721

Given numbers are 553/752,621/749,869/721

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 553,621,869

Least Common Multiple of Numerators i.e. LCM of 553,621,869 is 3777543.

GCF of Denominators means GCF of 752,749,721 as per the given fractions.

GCF of 752,749,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 553,621,869

LCM of Fractions 553/752,621/749,869/721 is 3777543

79 553, 621, 869
7, 621, 11

∴ So the LCM of the given numbers is 79 x 7 x 621 x 11 = 3777543

Least Common Multiple of 553,621,869 with GCF Formula

Least Common Multiple of 553,621,869 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 553,621,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,621,869) = 1

common factors(in case of two or more numbers have common factors) = 79

GCF(553,621,869) x common factors =1 x 79 = 79

LCM(553,621,869) = ( 553 × 621 × 869 ) / 79

LCM(553,621,869) = 298425897 / 79

LCM(553,621,869) = 3777543


Lets's calculate GCF of 752,749,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3777543/1

Therefore the LCM of Fractions 553/752,621/749,869/721 is 3777543

Greatest Common Factor of 752,749,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,749,721 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 752,749,721 . The biggest common factor number is the GCF number.
So the greatest common factor 752,749,721 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 553/752, 621/749, 869/721

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 553/752, 621/749, 869/721?

Answer: LCM of Numerators as per given numbers 553/752, 621/749, 869/721 is

LCM of Numerators i.e. for 553,621,869 is 3777543

GCF of denominators i.e. for 752,749,721 is 1.

Thus, LCM of Fractions is 3777543.Finally, LCM of Fractions for 553/752, 621/749, 869/721 is 3777543.