Least Common Multiple of 435/649, 9192/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 435/649, 9192/770 quickly i.e. 1332840/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 435/649, 9192/770 is 1332840/11.

LCM(435/649, 9192/770) = 1332840/11

LCM of 435/649, 9192/770

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 435/649,9192/770

Given numbers are 435/649,9192/770

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 435,9192

Least Common Multiple of Numerators i.e. LCM of 435,9192 is 1332840.

GCF of Denominators means GCF of 649,770 as per the given fractions.

GCF of 649,770 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 435,9192

LCM of Fractions 435/649,9192/770 is 1332840/11

3 435, 9192
145, 3064

∴ So the LCM of the given numbers is 3 x 145 x 3064 = 1332840

Least Common Multiple of 435,9192 with GCF Formula

Least Common Multiple of 435,9192 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 435,9192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,9192) = 3

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

GCF(435,9192) x common factors =3 x 1 = 3

LCM(435,9192) = ( 435 × 9192 ) / 3

LCM(435,9192) = 3998520 / 3

LCM(435,9192) = 1332840


Lets's calculate GCF of 649,770

11 649, 770
59, 70

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1332840/11

Therefore the LCM of Fractions 435/649,9192/770 is 1332840/11

Greatest Common Factor of 649,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,770 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

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

Greatest Common Factor

We found the factors 649,770 . The biggest common factor number is the GCF number.
So the greatest common factor 649,770 is 11.


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 435/649, 9192/770

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 435/649, 9192/770?

Answer: LCM of Numerators as per given numbers 435/649, 9192/770 is

LCM of Numerators i.e. for 435,9192 is 1332840

GCF of denominators i.e. for 649,770 is 11.

Thus, LCM of Fractions is 1332840/11.Finally, LCM of Fractions for 435/649, 9192/770 is 1332840/11.