Least Common Multiple of 34/861, 378/552, 146/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/861, 378/552, 146/924 quickly i.e. 156366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/861, 378/552, 146/924 is 156366.

LCM(34/861, 378/552, 146/924) = 156366

LCM of 34/861, 378/552, 146/924

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 34/861,378/552,146/924

Given numbers are 34/861,378/552,146/924

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 34,378,146

Least Common Multiple of Numerators i.e. LCM of 34,378,146 is 469098.

GCF of Denominators means GCF of 861,552,924 as per the given fractions.

GCF of 861,552,924 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,378,146

LCM of Fractions 34/861,378/552,146/924 is 156366

2 34, 378, 146
17, 189, 73

∴ So the LCM of the given numbers is 2 x 17 x 189 x 73 = 469098

Least Common Multiple of 34,378,146 with GCF Formula

Least Common Multiple of 34,378,146 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 34,378,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,378,146) = 2

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

GCF(34,378,146) x common factors =2 x 2 = 4

LCM(34,378,146) = ( 34 × 378 × 146 ) / 4

LCM(34,378,146) = 1876392 / 4

LCM(34,378,146) = 469098


Lets's calculate GCF of 861,552,924

3 861, 552, 924
287, 184, 308

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 469098/3

Therefore the LCM of Fractions 34/861,378/552,146/924 is 156366

Greatest Common Factor of 861,552,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,552,924 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 861,552,924 . The biggest common factor number is the GCF number.
So the greatest common factor 861,552,924 is 3.


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 34/861, 378/552, 146/924

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 34/861, 378/552, 146/924?

Answer: LCM of Numerators as per given numbers 34/861, 378/552, 146/924 is

LCM of Numerators i.e. for 34,378,146 is 469098

GCF of denominators i.e. for 861,552,924 is 3.

Thus, LCM of Fractions is 156366.Finally, LCM of Fractions for 34/861, 378/552, 146/924 is 156366.