Least Common Multiple of 45/780, 151/854, 164/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/780, 151/854, 164/266 quickly i.e. 557190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/780, 151/854, 164/266 is 557190.

LCM(45/780, 151/854, 164/266) = 557190

LCM of 45/780, 151/854, 164/266

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 45/780,151/854,164/266

Given numbers are 45/780,151/854,164/266

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 45,151,164

Least Common Multiple of Numerators i.e. LCM of 45,151,164 is 1114380.

GCF of Denominators means GCF of 780,854,266 as per the given fractions.

GCF of 780,854,266 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,151,164

LCM of Fractions 45/780,151/854,164/266 is 557190

Given numbers has no common factors except 1. So, there LCM is their product i.e 1114380

Least Common Multiple of 45,151,164 with GCF Formula

Least Common Multiple of 45,151,164 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 45,151,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,151,164) = 1

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

GCF(45,151,164) x common factors =1 x 1 = 1

LCM(45,151,164) = ( 45 × 151 × 164 ) / 1

LCM(45,151,164) = 1114380 / 1

LCM(45,151,164) = 1114380


Lets's calculate GCF of 780,854,266

2 780, 854, 266
390, 427, 133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1114380/2

Therefore the LCM of Fractions 45/780,151/854,164/266 is 557190

Greatest Common Factor of 780,854,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,854,266 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 780,854,266 . The biggest common factor number is the GCF number.
So the greatest common factor 780,854,266 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 45/780, 151/854, 164/266

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 45/780, 151/854, 164/266?

Answer: LCM of Numerators as per given numbers 45/780, 151/854, 164/266 is

LCM of Numerators i.e. for 45,151,164 is 1114380

GCF of denominators i.e. for 780,854,266 is 2.

Thus, LCM of Fractions is 557190.Finally, LCM of Fractions for 45/780, 151/854, 164/266 is 557190.