Least Common Multiple of 34/156, 49/864, 811/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/156, 49/864, 811/876 quickly i.e. 1351126/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/156, 49/864, 811/876 is 1351126/12.

LCM(34/156, 49/864, 811/876) = 1351126/12

LCM of 34/156, 49/864, 811/876

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 34/156,49/864,811/876

Given numbers are 34/156,49/864,811/876

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 34,49,811

Least Common Multiple of Numerators i.e. LCM of 34,49,811 is 1351126.

GCF of Denominators means GCF of 156,864,876 as per the given fractions.

GCF of 156,864,876 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,49,811

LCM of Fractions 34/156,49/864,811/876 is 1351126/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 1351126

Least Common Multiple of 34,49,811 with GCF Formula

Least Common Multiple of 34,49,811 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 34,49,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,49,811) = 1

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

GCF(34,49,811) x common factors =1 x 1 = 1

LCM(34,49,811) = ( 34 × 49 × 811 ) / 1

LCM(34,49,811) = 1351126 / 1

LCM(34,49,811) = 1351126


Lets's calculate GCF of 156,864,876

2 156, 864, 876
2 78, 432, 438
3 39, 216, 219
13, 72, 73

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1351126/12

Therefore the LCM of Fractions 34/156,49/864,811/876 is 1351126/12

Greatest Common Factor of 156,864,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,864,876 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 156,864,876 . The biggest common factor number is the GCF number.
So the greatest common factor 156,864,876 is 12.


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 34/156, 49/864, 811/876

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 34/156, 49/864, 811/876?

Answer: LCM of Numerators as per given numbers 34/156, 49/864, 811/876 is

LCM of Numerators i.e. for 34,49,811 is 1351126

GCF of denominators i.e. for 156,864,876 is 12.

Thus, LCM of Fractions is 1351126/12.Finally, LCM of Fractions for 34/156, 49/864, 811/876 is 1351126/12.