Least Common Multiple of 774/286, 891/126, 953/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 774/286, 891/126, 953/146 quickly i.e. 36512289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 774/286, 891/126, 953/146 is 36512289.

LCM(774/286, 891/126, 953/146) = 36512289

LCM of 774/286, 891/126, 953/146

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 774/286,891/126,953/146

Given numbers are 774/286,891/126,953/146

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 774,891,953

Least Common Multiple of Numerators i.e. LCM of 774,891,953 is 73024578.

GCF of Denominators means GCF of 286,126,146 as per the given fractions.

GCF of 286,126,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 774,891,953

LCM of Fractions 774/286,891/126,953/146 is 36512289

3 774, 891, 953
3 258, 297, 953
86, 99, 953

∴ So the LCM of the given numbers is 3 x 3 x 86 x 99 x 953 = 73024578

Least Common Multiple of 774,891,953 with GCF Formula

Least Common Multiple of 774,891,953 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 774,891,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,891,953) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(774,891,953) x common factors =1 x 9 = 9

LCM(774,891,953) = ( 774 × 891 × 953 ) / 9

LCM(774,891,953) = 657221202 / 9

LCM(774,891,953) = 73024578


Lets's calculate GCF of 286,126,146

2 286, 126, 146
143, 63, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73024578/2

Therefore the LCM of Fractions 774/286,891/126,953/146 is 36512289

Greatest Common Factor of 286,126,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,126,146 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 286,126,146 . The biggest common factor number is the GCF number.
So the greatest common factor 286,126,146 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 774/286, 891/126, 953/146

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 774/286, 891/126, 953/146?

Answer: LCM of Numerators as per given numbers 774/286, 891/126, 953/146 is

LCM of Numerators i.e. for 774,891,953 is 73024578

GCF of denominators i.e. for 286,126,146 is 2.

Thus, LCM of Fractions is 36512289.Finally, LCM of Fractions for 774/286, 891/126, 953/146 is 36512289.