Least Common Multiple of 1864/694, 2414/1566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1864/694, 2414/1566 quickly i.e. 1124924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1864/694, 2414/1566 is 1124924.

LCM(1864/694, 2414/1566) = 1124924

LCM of 1864/694, 2414/1566

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 1864/694,2414/1566

Given numbers are 1864/694,2414/1566

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 1864,2414

Least Common Multiple of Numerators i.e. LCM of 1864,2414 is 2249848.

GCF of Denominators means GCF of 694,1566 as per the given fractions.

GCF of 694,1566 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1864,2414

LCM of Fractions 1864/694,2414/1566 is 1124924

2 1864, 2414
932, 1207

∴ So the LCM of the given numbers is 2 x 932 x 1207 = 2249848

Least Common Multiple of 1864,2414 with GCF Formula

Least Common Multiple of 1864,2414 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 1864,2414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1864,2414) = 2

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

GCF(1864,2414) x common factors =2 x 1 = 2

LCM(1864,2414) = ( 1864 × 2414 ) / 2

LCM(1864,2414) = 4499696 / 2

LCM(1864,2414) = 2249848


Lets's calculate GCF of 694,1566

2 694, 1566
347, 783

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2249848/2

Therefore the LCM of Fractions 1864/694,2414/1566 is 1124924

Greatest Common Factor of 694,1566 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,1566 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 1566

List of positive integer factors of 1566 that divides 1566 without a remainder.

1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566

Greatest Common Factor

We found the factors 694,1566 . The biggest common factor number is the GCF number.
So the greatest common factor 694,1566 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 1864/694, 2414/1566

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 1864/694, 2414/1566?

Answer: LCM of Numerators as per given numbers 1864/694, 2414/1566 is

LCM of Numerators i.e. for 1864,2414 is 2249848

GCF of denominators i.e. for 694,1566 is 2.

Thus, LCM of Fractions is 1124924.Finally, LCM of Fractions for 1864/694, 2414/1566 is 1124924.