Least Common Multiple of 85/958, 58/636, 166/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/958, 58/636, 166/762 quickly i.e. 204595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/958, 58/636, 166/762 is 204595.

LCM(85/958, 58/636, 166/762) = 204595

LCM of 85/958, 58/636, 166/762

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 85/958,58/636,166/762

Given numbers are 85/958,58/636,166/762

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 85,58,166

Least Common Multiple of Numerators i.e. LCM of 85,58,166 is 409190.

GCF of Denominators means GCF of 958,636,762 as per the given fractions.

GCF of 958,636,762 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,58,166

LCM of Fractions 85/958,58/636,166/762 is 204595

2 85, 58, 166
85, 29, 83

∴ So the LCM of the given numbers is 2 x 85 x 29 x 83 = 409190

Least Common Multiple of 85,58,166 with GCF Formula

Least Common Multiple of 85,58,166 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 85,58,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,58,166) = 1

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

GCF(85,58,166) x common factors =1 x 2 = 2

LCM(85,58,166) = ( 85 × 58 × 166 ) / 2

LCM(85,58,166) = 818380 / 2

LCM(85,58,166) = 409190


Lets's calculate GCF of 958,636,762

2 958, 636, 762
479, 318, 381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 409190/2

Therefore the LCM of Fractions 85/958,58/636,166/762 is 204595

Greatest Common Factor of 958,636,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,636,762 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 958,636,762 . The biggest common factor number is the GCF number.
So the greatest common factor 958,636,762 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 85/958, 58/636, 166/762

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 85/958, 58/636, 166/762?

Answer: LCM of Numerators as per given numbers 85/958, 58/636, 166/762 is

LCM of Numerators i.e. for 85,58,166 is 409190

GCF of denominators i.e. for 958,636,762 is 2.

Thus, LCM of Fractions is 204595.Finally, LCM of Fractions for 85/958, 58/636, 166/762 is 204595.