Least Common Multiple of 64/676, 46/178, 620/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/676, 46/178, 620/442 quickly i.e. 114080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/676, 46/178, 620/442 is 114080.

LCM(64/676, 46/178, 620/442) = 114080

LCM of 64/676, 46/178, 620/442

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 64/676,46/178,620/442

Given numbers are 64/676,46/178,620/442

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 64,46,620

Least Common Multiple of Numerators i.e. LCM of 64,46,620 is 228160.

GCF of Denominators means GCF of 676,178,442 as per the given fractions.

GCF of 676,178,442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,46,620

LCM of Fractions 64/676,46/178,620/442 is 114080

2 64, 46, 620
2 32, 23, 310
16, 23, 155

∴ So the LCM of the given numbers is 2 x 2 x 16 x 23 x 155 = 228160

Least Common Multiple of 64,46,620 with GCF Formula

Least Common Multiple of 64,46,620 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 64,46,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,46,620) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(64,46,620) x common factors =2 x 4 = 8

LCM(64,46,620) = ( 64 × 46 × 620 ) / 8

LCM(64,46,620) = 1825280 / 8

LCM(64,46,620) = 228160


Lets's calculate GCF of 676,178,442

2 676, 178, 442
338, 89, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228160/2

Therefore the LCM of Fractions 64/676,46/178,620/442 is 114080

Greatest Common Factor of 676,178,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,178,442 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 676,178,442 . The biggest common factor number is the GCF number.
So the greatest common factor 676,178,442 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 64/676, 46/178, 620/442

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 64/676, 46/178, 620/442?

Answer: LCM of Numerators as per given numbers 64/676, 46/178, 620/442 is

LCM of Numerators i.e. for 64,46,620 is 228160

GCF of denominators i.e. for 676,178,442 is 2.

Thus, LCM of Fractions is 114080.Finally, LCM of Fractions for 64/676, 46/178, 620/442 is 114080.