Least Common Multiple of 9652/468, 3411/6300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9652/468, 3411/6300 quickly i.e. 914527 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9652/468, 3411/6300 is 914527.

LCM(9652/468, 3411/6300) = 914527

LCM of 9652/468, 3411/6300

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 9652/468,3411/6300

Given numbers are 9652/468,3411/6300

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 9652,3411

Least Common Multiple of Numerators i.e. LCM of 9652,3411 is 32922972.

GCF of Denominators means GCF of 468,6300 as per the given fractions.

GCF of 468,6300 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9652,3411

LCM of Fractions 9652/468,3411/6300 is 914527

Given numbers has no common factors except 1. So, there LCM is their product i.e 32922972

Least Common Multiple of 9652,3411 with GCF Formula

Least Common Multiple of 9652,3411 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 9652,3411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9652,3411) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(9652,3411) x common factors =1 x 1 = 1

LCM(9652,3411) = ( 9652 × 3411 ) / 1

LCM(9652,3411) = 32922972 / 1

LCM(9652,3411) = 32922972


Lets's calculate GCF of 468,6300

2 468, 6300
2 234, 3150
3 117, 1575
3 39, 525
13, 175

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32922972/36

Therefore the LCM of Fractions 9652/468,3411/6300 is 914527

Greatest Common Factor of 468,6300 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,6300 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 6300

List of positive integer factors of 6300 that divides 6300 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,25,28,30,35,36,42,45,50,60,63,70,75,84,90,100,105,126,140,150,175,180,210,225,252,300,315,350,420,450,525,630,700,900,1050,1260,1575,2100,3150,6300

Greatest Common Factor

We found the factors 468,6300 . The biggest common factor number is the GCF number.
So the greatest common factor 468,6300 is 36.


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 9652/468, 3411/6300

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 9652/468, 3411/6300?

Answer: LCM of Numerators as per given numbers 9652/468, 3411/6300 is

LCM of Numerators i.e. for 9652,3411 is 32922972

GCF of denominators i.e. for 468,6300 is 36.

Thus, LCM of Fractions is 914527.Finally, LCM of Fractions for 9652/468, 3411/6300 is 914527.