Least Common Multiple of 77/462, 170/330, 858/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/462, 170/330, 858/474 quickly i.e. 85085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/462, 170/330, 858/474 is 85085.

LCM(77/462, 170/330, 858/474) = 85085

LCM of 77/462, 170/330, 858/474

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 77/462,170/330,858/474

Given numbers are 77/462,170/330,858/474

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 77,170,858

Least Common Multiple of Numerators i.e. LCM of 77,170,858 is 510510.

GCF of Denominators means GCF of 462,330,474 as per the given fractions.

GCF of 462,330,474 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,170,858

LCM of Fractions 77/462,170/330,858/474 is 85085

2 77, 170, 858
11 77, 85, 429
7, 85, 39

∴ So the LCM of the given numbers is 2 x 11 x 7 x 85 x 39 = 510510

Least Common Multiple of 77,170,858 with GCF Formula

Least Common Multiple of 77,170,858 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 77,170,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,170,858) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(77,170,858) x common factors =1 x 22 = 22

LCM(77,170,858) = ( 77 × 170 × 858 ) / 22

LCM(77,170,858) = 11231220 / 22

LCM(77,170,858) = 510510


Lets's calculate GCF of 462,330,474

2 462, 330, 474
3 231, 165, 237
77, 55, 79

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510510/6

Therefore the LCM of Fractions 77/462,170/330,858/474 is 85085

Greatest Common Factor of 462,330,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,330,474 By Matching Biggest Common Factor Method

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

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 462,330,474 . The biggest common factor number is the GCF number.
So the greatest common factor 462,330,474 is 6.


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 77/462, 170/330, 858/474

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 77/462, 170/330, 858/474?

Answer: LCM of Numerators as per given numbers 77/462, 170/330, 858/474 is

LCM of Numerators i.e. for 77,170,858 is 510510

GCF of denominators i.e. for 462,330,474 is 6.

Thus, LCM of Fractions is 85085.Finally, LCM of Fractions for 77/462, 170/330, 858/474 is 85085.