Least Common Multiple of 654/770, 657/869, 224/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 654/770, 657/869, 224/300 quickly i.e. 16041312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 654/770, 657/869, 224/300 is 16041312.

LCM(654/770, 657/869, 224/300) = 16041312

LCM of 654/770, 657/869, 224/300

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 654/770,657/869,224/300

Given numbers are 654/770,657/869,224/300

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 654,657,224

Least Common Multiple of Numerators i.e. LCM of 654,657,224 is 16041312.

GCF of Denominators means GCF of 770,869,300 as per the given fractions.

GCF of 770,869,300 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 654,657,224

LCM of Fractions 654/770,657/869,224/300 is 16041312

2 654, 657, 224
3 327, 657, 112
109, 219, 112

∴ So the LCM of the given numbers is 2 x 3 x 109 x 219 x 112 = 16041312

Least Common Multiple of 654,657,224 with GCF Formula

Least Common Multiple of 654,657,224 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 654,657,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,657,224) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(654,657,224) x common factors =1 x 6 = 6

LCM(654,657,224) = ( 654 × 657 × 224 ) / 6

LCM(654,657,224) = 96247872 / 6

LCM(654,657,224) = 16041312


Lets's calculate GCF of 770,869,300

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16041312/1

Therefore the LCM of Fractions 654/770,657/869,224/300 is 16041312

Greatest Common Factor of 770,869,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,869,300 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 770,869,300 . The biggest common factor number is the GCF number.
So the greatest common factor 770,869,300 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 654/770, 657/869, 224/300

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 654/770, 657/869, 224/300?

Answer: LCM of Numerators as per given numbers 654/770, 657/869, 224/300 is

LCM of Numerators i.e. for 654,657,224 is 16041312

GCF of denominators i.e. for 770,869,300 is 1.

Thus, LCM of Fractions is 16041312.Finally, LCM of Fractions for 654/770, 657/869, 224/300 is 16041312.