Least Common Multiple of 1534/774, 7332/3560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1534/774, 7332/3560 quickly i.e. 216294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1534/774, 7332/3560 is 216294.

LCM(1534/774, 7332/3560) = 216294

LCM of 1534/774, 7332/3560

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 1534/774,7332/3560

Given numbers are 1534/774,7332/3560

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 1534,7332

Least Common Multiple of Numerators i.e. LCM of 1534,7332 is 432588.

GCF of Denominators means GCF of 774,3560 as per the given fractions.

GCF of 774,3560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1534,7332

LCM of Fractions 1534/774,7332/3560 is 216294

2 1534, 7332
13 767, 3666
59, 282

∴ So the LCM of the given numbers is 2 x 13 x 59 x 282 = 432588

Least Common Multiple of 1534,7332 with GCF Formula

Least Common Multiple of 1534,7332 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 1534,7332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1534,7332) = 26

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

GCF(1534,7332) x common factors =26 x 1 = 26

LCM(1534,7332) = ( 1534 × 7332 ) / 26

LCM(1534,7332) = 11247288 / 26

LCM(1534,7332) = 432588


Lets's calculate GCF of 774,3560

2 774, 3560
387, 1780

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 432588/2

Therefore the LCM of Fractions 1534/774,7332/3560 is 216294

Greatest Common Factor of 774,3560 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,3560 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 3560

List of positive integer factors of 3560 that divides 3560 without a remainder.

1,2,4,5,8,10,20,40,89,178,356,445,712,890,1780,3560

Greatest Common Factor

We found the factors 774,3560 . The biggest common factor number is the GCF number.
So the greatest common factor 774,3560 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 1534/774, 7332/3560

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 1534/774, 7332/3560?

Answer: LCM of Numerators as per given numbers 1534/774, 7332/3560 is

LCM of Numerators i.e. for 1534,7332 is 432588

GCF of denominators i.e. for 774,3560 is 2.

Thus, LCM of Fractions is 216294.Finally, LCM of Fractions for 1534/774, 7332/3560 is 216294.