Least Common Multiple of 946/902, 688/576, 369/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 946/902, 688/576, 369/246 quickly i.e. 1396296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 946/902, 688/576, 369/246 is 1396296.

LCM(946/902, 688/576, 369/246) = 1396296

LCM of 946/902, 688/576, 369/246

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 946/902,688/576,369/246

Given numbers are 946/902,688/576,369/246

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 946,688,369

Least Common Multiple of Numerators i.e. LCM of 946,688,369 is 2792592.

GCF of Denominators means GCF of 902,576,246 as per the given fractions.

GCF of 902,576,246 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 946,688,369

LCM of Fractions 946/902,688/576,369/246 is 1396296

2 946, 688, 369
43 473, 344, 369
11, 8, 369

∴ So the LCM of the given numbers is 2 x 43 x 11 x 8 x 369 = 2792592

Least Common Multiple of 946,688,369 with GCF Formula

Least Common Multiple of 946,688,369 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 946,688,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,688,369) = 1

common factors(in case of two or more numbers have common factors) = 86

GCF(946,688,369) x common factors =1 x 86 = 86

LCM(946,688,369) = ( 946 × 688 × 369 ) / 86

LCM(946,688,369) = 240162912 / 86

LCM(946,688,369) = 2792592


Lets's calculate GCF of 902,576,246

2 902, 576, 246
451, 288, 123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2792592/2

Therefore the LCM of Fractions 946/902,688/576,369/246 is 1396296

Greatest Common Factor of 902,576,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,576,246 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 902,576,246 . The biggest common factor number is the GCF number.
So the greatest common factor 902,576,246 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 946/902, 688/576, 369/246

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 946/902, 688/576, 369/246?

Answer: LCM of Numerators as per given numbers 946/902, 688/576, 369/246 is

LCM of Numerators i.e. for 946,688,369 is 2792592

GCF of denominators i.e. for 902,576,246 is 2.

Thus, LCM of Fractions is 1396296.Finally, LCM of Fractions for 946/902, 688/576, 369/246 is 1396296.