Least Common Multiple of 969/346, 323/962, 312/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/346, 323/962, 312/953 quickly i.e. 100776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/346, 323/962, 312/953 is 100776.

LCM(969/346, 323/962, 312/953) = 100776

LCM of 969/346, 323/962, 312/953

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 969/346,323/962,312/953

Given numbers are 969/346,323/962,312/953

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 969,323,312

Least Common Multiple of Numerators i.e. LCM of 969,323,312 is 100776.

GCF of Denominators means GCF of 346,962,953 as per the given fractions.

GCF of 346,962,953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,323,312

LCM of Fractions 969/346,323/962,312/953 is 100776

3 969, 323, 312
17 323, 323, 104
19 19, 19, 104
1, 1, 104

∴ So the LCM of the given numbers is 3 x 17 x 19 x 1 x 1 x 104 = 100776

Least Common Multiple of 969,323,312 with GCF Formula

Least Common Multiple of 969,323,312 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 969,323,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,323,312) = 1

common factors(in case of two or more numbers have common factors) = 969

GCF(969,323,312) x common factors =1 x 969 = 969

LCM(969,323,312) = ( 969 × 323 × 312 ) / 969

LCM(969,323,312) = 97651944 / 969

LCM(969,323,312) = 100776


Lets's calculate GCF of 346,962,953

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100776/1

Therefore the LCM of Fractions 969/346,323/962,312/953 is 100776

Greatest Common Factor of 346,962,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,962,953 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 346,962,953 . The biggest common factor number is the GCF number.
So the greatest common factor 346,962,953 is 1.


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 969/346, 323/962, 312/953

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 969/346, 323/962, 312/953?

Answer: LCM of Numerators as per given numbers 969/346, 323/962, 312/953 is

LCM of Numerators i.e. for 969,323,312 is 100776

GCF of denominators i.e. for 346,962,953 is 1.

Thus, LCM of Fractions is 100776.Finally, LCM of Fractions for 969/346, 323/962, 312/953 is 100776.