Least Common Multiple of 32/230, 76/700, 654/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/230, 76/700, 654/756 quickly i.e. 99408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/230, 76/700, 654/756 is 99408.

LCM(32/230, 76/700, 654/756) = 99408

LCM of 32/230, 76/700, 654/756

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 32/230,76/700,654/756

Given numbers are 32/230,76/700,654/756

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 32,76,654

Least Common Multiple of Numerators i.e. LCM of 32,76,654 is 198816.

GCF of Denominators means GCF of 230,700,756 as per the given fractions.

GCF of 230,700,756 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,76,654

LCM of Fractions 32/230,76/700,654/756 is 99408

2 32, 76, 654
2 16, 38, 327
8, 19, 327

∴ So the LCM of the given numbers is 2 x 2 x 8 x 19 x 327 = 198816

Least Common Multiple of 32,76,654 with GCF Formula

Least Common Multiple of 32,76,654 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 32,76,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,76,654) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(32,76,654) x common factors =2 x 4 = 8

LCM(32,76,654) = ( 32 × 76 × 654 ) / 8

LCM(32,76,654) = 1590528 / 8

LCM(32,76,654) = 198816


Lets's calculate GCF of 230,700,756

2 230, 700, 756
115, 350, 378

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198816/2

Therefore the LCM of Fractions 32/230,76/700,654/756 is 99408

Greatest Common Factor of 230,700,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,700,756 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 230,700,756 . The biggest common factor number is the GCF number.
So the greatest common factor 230,700,756 is 2.


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 32/230, 76/700, 654/756

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 32/230, 76/700, 654/756?

Answer: LCM of Numerators as per given numbers 32/230, 76/700, 654/756 is

LCM of Numerators i.e. for 32,76,654 is 198816

GCF of denominators i.e. for 230,700,756 is 2.

Thus, LCM of Fractions is 99408.Finally, LCM of Fractions for 32/230, 76/700, 654/756 is 99408.