Least Common Multiple of 6232/304, 4460/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6232/304, 4460/764 quickly i.e. 1737170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6232/304, 4460/764 is 1737170.

LCM(6232/304, 4460/764) = 1737170

LCM of 6232/304, 4460/764

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 6232/304,4460/764

Given numbers are 6232/304,4460/764

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 6232,4460

Least Common Multiple of Numerators i.e. LCM of 6232,4460 is 6948680.

GCF of Denominators means GCF of 304,764 as per the given fractions.

GCF of 304,764 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6232,4460

LCM of Fractions 6232/304,4460/764 is 1737170

2 6232, 4460
2 3116, 2230
1558, 1115

∴ So the LCM of the given numbers is 2 x 2 x 1558 x 1115 = 6948680

Least Common Multiple of 6232,4460 with GCF Formula

Least Common Multiple of 6232,4460 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 6232,4460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6232,4460) = 4

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

GCF(6232,4460) x common factors =4 x 1 = 4

LCM(6232,4460) = ( 6232 × 4460 ) / 4

LCM(6232,4460) = 27794720 / 4

LCM(6232,4460) = 6948680


Lets's calculate GCF of 304,764

2 304, 764
2 152, 382
76, 191

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6948680/4

Therefore the LCM of Fractions 6232/304,4460/764 is 1737170

Greatest Common Factor of 304,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,764 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 304,764 . The biggest common factor number is the GCF number.
So the greatest common factor 304,764 is 4.


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 6232/304, 4460/764

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 6232/304, 4460/764?

Answer: LCM of Numerators as per given numbers 6232/304, 4460/764 is

LCM of Numerators i.e. for 6232,4460 is 6948680

GCF of denominators i.e. for 304,764 is 4.

Thus, LCM of Fractions is 1737170.Finally, LCM of Fractions for 6232/304, 4460/764 is 1737170.