Least Common Multiple of 182/874, 8307/4152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 182/874, 8307/4152 quickly i.e. 58149 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 182/874, 8307/4152 is 58149.

LCM(182/874, 8307/4152) = 58149

LCM of 182/874, 8307/4152

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 182/874,8307/4152

Given numbers are 182/874,8307/4152

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 182,8307

Least Common Multiple of Numerators i.e. LCM of 182,8307 is 116298.

GCF of Denominators means GCF of 874,4152 as per the given fractions.

GCF of 874,4152 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 182,8307

LCM of Fractions 182/874,8307/4152 is 58149

13 182, 8307
14, 639

∴ So the LCM of the given numbers is 13 x 14 x 639 = 116298

Least Common Multiple of 182,8307 with GCF Formula

Least Common Multiple of 182,8307 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 182,8307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,8307) = 13

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

GCF(182,8307) x common factors =13 x 1 = 13

LCM(182,8307) = ( 182 × 8307 ) / 13

LCM(182,8307) = 1511874 / 13

LCM(182,8307) = 116298


Lets's calculate GCF of 874,4152

2 874, 4152
437, 2076

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116298/2

Therefore the LCM of Fractions 182/874,8307/4152 is 58149

Greatest Common Factor of 874,4152 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,4152 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 4152

List of positive integer factors of 4152 that divides 4152 without a remainder.

1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152

Greatest Common Factor

We found the factors 874,4152 . The biggest common factor number is the GCF number.
So the greatest common factor 874,4152 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 182/874, 8307/4152

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 182/874, 8307/4152?

Answer: LCM of Numerators as per given numbers 182/874, 8307/4152 is

LCM of Numerators i.e. for 182,8307 is 116298

GCF of denominators i.e. for 874,4152 is 2.

Thus, LCM of Fractions is 58149.Finally, LCM of Fractions for 182/874, 8307/4152 is 58149.