Least Common Multiple of 966/946, 239/926, 978/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 966/946, 239/926, 978/206 quickly i.e. 18816231 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 966/946, 239/926, 978/206 is 18816231.

LCM(966/946, 239/926, 978/206) = 18816231

LCM of 966/946, 239/926, 978/206

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 966/946,239/926,978/206

Given numbers are 966/946,239/926,978/206

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 966,239,978

Least Common Multiple of Numerators i.e. LCM of 966,239,978 is 37632462.

GCF of Denominators means GCF of 946,926,206 as per the given fractions.

GCF of 946,926,206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 966,239,978

LCM of Fractions 966/946,239/926,978/206 is 18816231

2 966, 239, 978
3 483, 239, 489
161, 239, 163

∴ So the LCM of the given numbers is 2 x 3 x 161 x 239 x 163 = 37632462

Least Common Multiple of 966,239,978 with GCF Formula

Least Common Multiple of 966,239,978 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 966,239,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,239,978) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(966,239,978) x common factors =1 x 6 = 6

LCM(966,239,978) = ( 966 × 239 × 978 ) / 6

LCM(966,239,978) = 225794772 / 6

LCM(966,239,978) = 37632462


Lets's calculate GCF of 946,926,206

2 946, 926, 206
473, 463, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37632462/2

Therefore the LCM of Fractions 966/946,239/926,978/206 is 18816231

Greatest Common Factor of 946,926,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,926,206 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 946,926,206 . The biggest common factor number is the GCF number.
So the greatest common factor 946,926,206 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 966/946, 239/926, 978/206

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 966/946, 239/926, 978/206?

Answer: LCM of Numerators as per given numbers 966/946, 239/926, 978/206 is

LCM of Numerators i.e. for 966,239,978 is 37632462

GCF of denominators i.e. for 946,926,206 is 2.

Thus, LCM of Fractions is 18816231.Finally, LCM of Fractions for 966/946, 239/926, 978/206 is 18816231.