Least Common Multiple of 854/709, 769/151, 510/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 854/709, 769/151, 510/158 quickly i.e. 167465130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/709, 769/151, 510/158 is 167465130.

LCM(854/709, 769/151, 510/158) = 167465130

LCM of 854/709, 769/151, 510/158

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 854/709,769/151,510/158

Given numbers are 854/709,769/151,510/158

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 854,769,510

Least Common Multiple of Numerators i.e. LCM of 854,769,510 is 167465130.

GCF of Denominators means GCF of 709,151,158 as per the given fractions.

GCF of 709,151,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,769,510

LCM of Fractions 854/709,769/151,510/158 is 167465130

2 854, 769, 510
427, 769, 255

∴ So the LCM of the given numbers is 2 x 427 x 769 x 255 = 167465130

Least Common Multiple of 854,769,510 with GCF Formula

Least Common Multiple of 854,769,510 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 854,769,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,769,510) = 1

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

GCF(854,769,510) x common factors =1 x 2 = 2

LCM(854,769,510) = ( 854 × 769 × 510 ) / 2

LCM(854,769,510) = 334930260 / 2

LCM(854,769,510) = 167465130


Lets's calculate GCF of 709,151,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167465130/1

Therefore the LCM of Fractions 854/709,769/151,510/158 is 167465130

Greatest Common Factor of 709,151,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,151,158 By Matching Biggest Common Factor Method

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 709,151,158 . The biggest common factor number is the GCF number.
So the greatest common factor 709,151,158 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 854/709, 769/151, 510/158

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 854/709, 769/151, 510/158?

Answer: LCM of Numerators as per given numbers 854/709, 769/151, 510/158 is

LCM of Numerators i.e. for 854,769,510 is 167465130

GCF of denominators i.e. for 709,151,158 is 1.

Thus, LCM of Fractions is 167465130.Finally, LCM of Fractions for 854/709, 769/151, 510/158 is 167465130.