Least Common Multiple of 874/142, 682/186, 292/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 874/142, 682/186, 292/210 quickly i.e. 21756482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 874/142, 682/186, 292/210 is 21756482.

LCM(874/142, 682/186, 292/210) = 21756482

LCM of 874/142, 682/186, 292/210

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 874/142,682/186,292/210

Given numbers are 874/142,682/186,292/210

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 874,682,292

Least Common Multiple of Numerators i.e. LCM of 874,682,292 is 43512964.

GCF of Denominators means GCF of 142,186,210 as per the given fractions.

GCF of 142,186,210 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 874,682,292

LCM of Fractions 874/142,682/186,292/210 is 21756482

2 874, 682, 292
437, 341, 146

∴ So the LCM of the given numbers is 2 x 437 x 341 x 146 = 43512964

Least Common Multiple of 874,682,292 with GCF Formula

Least Common Multiple of 874,682,292 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 874,682,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,682,292) = 2

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

GCF(874,682,292) x common factors =2 x 2 = 4

LCM(874,682,292) = ( 874 × 682 × 292 ) / 4

LCM(874,682,292) = 174051856 / 4

LCM(874,682,292) = 43512964


Lets's calculate GCF of 142,186,210

2 142, 186, 210
71, 93, 105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43512964/2

Therefore the LCM of Fractions 874/142,682/186,292/210 is 21756482

Greatest Common Factor of 142,186,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,186,210 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 142,186,210 . The biggest common factor number is the GCF number.
So the greatest common factor 142,186,210 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 874/142, 682/186, 292/210

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 874/142, 682/186, 292/210?

Answer: LCM of Numerators as per given numbers 874/142, 682/186, 292/210 is

LCM of Numerators i.e. for 874,682,292 is 43512964

GCF of denominators i.e. for 142,186,210 is 2.

Thus, LCM of Fractions is 21756482.Finally, LCM of Fractions for 874/142, 682/186, 292/210 is 21756482.