Least Common Multiple of 46/196, 64/980, 359/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/196, 64/980, 359/512 quickly i.e. 132112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/196, 64/980, 359/512 is 132112.

LCM(46/196, 64/980, 359/512) = 132112

LCM of 46/196, 64/980, 359/512

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 46/196,64/980,359/512

Given numbers are 46/196,64/980,359/512

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 46,64,359

Least Common Multiple of Numerators i.e. LCM of 46,64,359 is 528448.

GCF of Denominators means GCF of 196,980,512 as per the given fractions.

GCF of 196,980,512 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,64,359

LCM of Fractions 46/196,64/980,359/512 is 132112

2 46, 64, 359
23, 32, 359

∴ So the LCM of the given numbers is 2 x 23 x 32 x 359 = 528448

Least Common Multiple of 46,64,359 with GCF Formula

Least Common Multiple of 46,64,359 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 46,64,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,64,359) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,64,359) x common factors =1 x 2 = 2

LCM(46,64,359) = ( 46 × 64 × 359 ) / 2

LCM(46,64,359) = 1056896 / 2

LCM(46,64,359) = 528448


Lets's calculate GCF of 196,980,512

2 196, 980, 512
2 98, 490, 256
49, 245, 128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 528448/4

Therefore the LCM of Fractions 46/196,64/980,359/512 is 132112

Greatest Common Factor of 196,980,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,980,512 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 196,980,512 . The biggest common factor number is the GCF number.
So the greatest common factor 196,980,512 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 46/196, 64/980, 359/512

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 46/196, 64/980, 359/512?

Answer: LCM of Numerators as per given numbers 46/196, 64/980, 359/512 is

LCM of Numerators i.e. for 46,64,359 is 528448

GCF of denominators i.e. for 196,980,512 is 4.

Thus, LCM of Fractions is 132112.Finally, LCM of Fractions for 46/196, 64/980, 359/512 is 132112.