Least Common Multiple of 69/836, 458/549, 658/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/836, 458/549, 658/946 quickly i.e. 10397058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/836, 458/549, 658/946 is 10397058.

LCM(69/836, 458/549, 658/946) = 10397058

LCM of 69/836, 458/549, 658/946

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 69/836,458/549,658/946

Given numbers are 69/836,458/549,658/946

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 69,458,658

Least Common Multiple of Numerators i.e. LCM of 69,458,658 is 10397058.

GCF of Denominators means GCF of 836,549,946 as per the given fractions.

GCF of 836,549,946 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,458,658

LCM of Fractions 69/836,458/549,658/946 is 10397058

2 69, 458, 658
69, 229, 329

∴ So the LCM of the given numbers is 2 x 69 x 229 x 329 = 10397058

Least Common Multiple of 69,458,658 with GCF Formula

Least Common Multiple of 69,458,658 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 69,458,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,458,658) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(69,458,658) x common factors =1 x 2 = 2

LCM(69,458,658) = ( 69 × 458 × 658 ) / 2

LCM(69,458,658) = 20794116 / 2

LCM(69,458,658) = 10397058


Lets's calculate GCF of 836,549,946

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10397058/1

Therefore the LCM of Fractions 69/836,458/549,658/946 is 10397058

Greatest Common Factor of 836,549,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,549,946 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 946

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

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

Greatest Common Factor

We found the factors 836,549,946 . The biggest common factor number is the GCF number.
So the greatest common factor 836,549,946 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 69/836, 458/549, 658/946

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 69/836, 458/549, 658/946?

Answer: LCM of Numerators as per given numbers 69/836, 458/549, 658/946 is

LCM of Numerators i.e. for 69,458,658 is 10397058

GCF of denominators i.e. for 836,549,946 is 1.

Thus, LCM of Fractions is 10397058.Finally, LCM of Fractions for 69/836, 458/549, 658/946 is 10397058.