Least Common Multiple of 1264/812, 3477/4312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1264/812, 3477/4312 quickly i.e. 4394928/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1264/812, 3477/4312 is 4394928/28.

LCM(1264/812, 3477/4312) = 4394928/28

LCM of 1264/812, 3477/4312

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 1264/812,3477/4312

Given numbers are 1264/812,3477/4312

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 1264,3477

Least Common Multiple of Numerators i.e. LCM of 1264,3477 is 4394928.

GCF of Denominators means GCF of 812,4312 as per the given fractions.

GCF of 812,4312 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1264,3477

LCM of Fractions 1264/812,3477/4312 is 4394928/28

Given numbers has no common factors except 1. So, there LCM is their product i.e 4394928

Least Common Multiple of 1264,3477 with GCF Formula

Least Common Multiple of 1264,3477 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 1264,3477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1264,3477) = 1

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

GCF(1264,3477) x common factors =1 x 1 = 1

LCM(1264,3477) = ( 1264 × 3477 ) / 1

LCM(1264,3477) = 4394928 / 1

LCM(1264,3477) = 4394928


Lets's calculate GCF of 812,4312

2 812, 4312
2 406, 2156
7 203, 1078
29, 154

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4394928/28

Therefore the LCM of Fractions 1264/812,3477/4312 is 4394928/28

Greatest Common Factor of 812,4312 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,4312 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 4312

List of positive integer factors of 4312 that divides 4312 without a remainder.

1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312

Greatest Common Factor

We found the factors 812,4312 . The biggest common factor number is the GCF number.
So the greatest common factor 812,4312 is 28.


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 1264/812, 3477/4312

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 1264/812, 3477/4312?

Answer: LCM of Numerators as per given numbers 1264/812, 3477/4312 is

LCM of Numerators i.e. for 1264,3477 is 4394928

GCF of denominators i.e. for 812,4312 is 28.

Thus, LCM of Fractions is 4394928/28.Finally, LCM of Fractions for 1264/812, 3477/4312 is 4394928/28.