Least Common Multiple of 312/946, 106/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/946, 106/682 quickly i.e. 16536/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/946, 106/682 is 16536/22.

LCM(312/946, 106/682) = 16536/22

LCM of 312/946, 106/682

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 312/946,106/682

Given numbers are 312/946,106/682

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 312,106

Least Common Multiple of Numerators i.e. LCM of 312,106 is 16536.

GCF of Denominators means GCF of 946,682 as per the given fractions.

GCF of 946,682 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,106

LCM of Fractions 312/946,106/682 is 16536/22

2 312, 106
156, 53

∴ So the LCM of the given numbers is 2 x 156 x 53 = 16536

Least Common Multiple of 312,106 with GCF Formula

Least Common Multiple of 312,106 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 312,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,106) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(312,106) x common factors =2 x 1 = 2

LCM(312,106) = ( 312 × 106 ) / 2

LCM(312,106) = 33072 / 2

LCM(312,106) = 16536


Lets's calculate GCF of 946,682

2 946, 682
11 473, 341
43, 31

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16536/22

Therefore the LCM of Fractions 312/946,106/682 is 16536/22

Greatest Common Factor of 946,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,682 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 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 946,682 . The biggest common factor number is the GCF number.
So the greatest common factor 946,682 is 22.


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 312/946, 106/682

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 312/946, 106/682?

Answer: LCM of Numerators as per given numbers 312/946, 106/682 is

LCM of Numerators i.e. for 312,106 is 16536

GCF of denominators i.e. for 946,682 is 22.

Thus, LCM of Fractions is 16536/22.Finally, LCM of Fractions for 312/946, 106/682 is 16536/22.