Least Common Multiple of 70/846, 47/858, 178/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/846, 47/858, 178/274 quickly i.e. 146405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/846, 47/858, 178/274 is 146405.

LCM(70/846, 47/858, 178/274) = 146405

LCM of 70/846, 47/858, 178/274

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 70/846,47/858,178/274

Given numbers are 70/846,47/858,178/274

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 70,47,178

Least Common Multiple of Numerators i.e. LCM of 70,47,178 is 292810.

GCF of Denominators means GCF of 846,858,274 as per the given fractions.

GCF of 846,858,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,47,178

LCM of Fractions 70/846,47/858,178/274 is 146405

2 70, 47, 178
35, 47, 89

∴ So the LCM of the given numbers is 2 x 35 x 47 x 89 = 292810

Least Common Multiple of 70,47,178 with GCF Formula

Least Common Multiple of 70,47,178 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 70,47,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,47,178) = 1

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

GCF(70,47,178) x common factors =1 x 2 = 2

LCM(70,47,178) = ( 70 × 47 × 178 ) / 2

LCM(70,47,178) = 585620 / 2

LCM(70,47,178) = 292810


Lets's calculate GCF of 846,858,274

2 846, 858, 274
423, 429, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292810/2

Therefore the LCM of Fractions 70/846,47/858,178/274 is 146405

Greatest Common Factor of 846,858,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,858,274 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 846,858,274 . The biggest common factor number is the GCF number.
So the greatest common factor 846,858,274 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 70/846, 47/858, 178/274

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 70/846, 47/858, 178/274?

Answer: LCM of Numerators as per given numbers 70/846, 47/858, 178/274 is

LCM of Numerators i.e. for 70,47,178 is 292810

GCF of denominators i.e. for 846,858,274 is 2.

Thus, LCM of Fractions is 146405.Finally, LCM of Fractions for 70/846, 47/858, 178/274 is 146405.