Least Common Multiple of 64/396, 946/830, 286/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/396, 946/830, 286/700 quickly i.e. 196768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/396, 946/830, 286/700 is 196768.

LCM(64/396, 946/830, 286/700) = 196768

LCM of 64/396, 946/830, 286/700

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 64/396,946/830,286/700

Given numbers are 64/396,946/830,286/700

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 64,946,286

Least Common Multiple of Numerators i.e. LCM of 64,946,286 is 393536.

GCF of Denominators means GCF of 396,830,700 as per the given fractions.

GCF of 396,830,700 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,946,286

LCM of Fractions 64/396,946/830,286/700 is 196768

2 64, 946, 286
11 32, 473, 143
32, 43, 13

∴ So the LCM of the given numbers is 2 x 11 x 32 x 43 x 13 = 393536

Least Common Multiple of 64,946,286 with GCF Formula

Least Common Multiple of 64,946,286 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 64,946,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,946,286) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(64,946,286) x common factors =2 x 22 = 44

LCM(64,946,286) = ( 64 × 946 × 286 ) / 44

LCM(64,946,286) = 17315584 / 44

LCM(64,946,286) = 393536


Lets's calculate GCF of 396,830,700

2 396, 830, 700
198, 415, 350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393536/2

Therefore the LCM of Fractions 64/396,946/830,286/700 is 196768

Greatest Common Factor of 396,830,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,830,700 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 396,830,700 . The biggest common factor number is the GCF number.
So the greatest common factor 396,830,700 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 64/396, 946/830, 286/700

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 64/396, 946/830, 286/700?

Answer: LCM of Numerators as per given numbers 64/396, 946/830, 286/700 is

LCM of Numerators i.e. for 64,946,286 is 393536

GCF of denominators i.e. for 396,830,700 is 2.

Thus, LCM of Fractions is 196768.Finally, LCM of Fractions for 64/396, 946/830, 286/700 is 196768.