Least Common Multiple of 77/83, 837/17, 142/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/83, 837/17, 142/462 quickly i.e. 9151758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/83, 837/17, 142/462 is 9151758.

LCM(77/83, 837/17, 142/462) = 9151758

LCM of 77/83, 837/17, 142/462

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 77/83,837/17,142/462

Given numbers are 77/83,837/17,142/462

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 77,837,142

Least Common Multiple of Numerators i.e. LCM of 77,837,142 is 9151758.

GCF of Denominators means GCF of 83,17,462 as per the given fractions.

GCF of 83,17,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,837,142

LCM of Fractions 77/83,837/17,142/462 is 9151758

Given numbers has no common factors except 1. So, there LCM is their product i.e 9151758

Least Common Multiple of 77,837,142 with GCF Formula

Least Common Multiple of 77,837,142 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 77,837,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,837,142) = 1

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

GCF(77,837,142) x common factors =1 x 1 = 1

LCM(77,837,142) = ( 77 × 837 × 142 ) / 1

LCM(77,837,142) = 9151758 / 1

LCM(77,837,142) = 9151758


Lets's calculate GCF of 83,17,462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9151758/1

Therefore the LCM of Fractions 77/83,837/17,142/462 is 9151758

Greatest Common Factor of 83,17,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,17,462 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 83,17,462 . The biggest common factor number is the GCF number.
So the greatest common factor 83,17,462 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 77/83, 837/17, 142/462

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 77/83, 837/17, 142/462?

Answer: LCM of Numerators as per given numbers 77/83, 837/17, 142/462 is

LCM of Numerators i.e. for 77,837,142 is 9151758

GCF of denominators i.e. for 83,17,462 is 1.

Thus, LCM of Fractions is 9151758.Finally, LCM of Fractions for 77/83, 837/17, 142/462 is 9151758.