Least Common Multiple of 1862/174, 9688/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1862/174, 9688/924 quickly i.e. 1288504/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1862/174, 9688/924 is 1288504/6.

LCM(1862/174, 9688/924) = 1288504/6

LCM of 1862/174, 9688/924

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 1862/174,9688/924

Given numbers are 1862/174,9688/924

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 1862,9688

Least Common Multiple of Numerators i.e. LCM of 1862,9688 is 1288504.

GCF of Denominators means GCF of 174,924 as per the given fractions.

GCF of 174,924 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1862,9688

LCM of Fractions 1862/174,9688/924 is 1288504/6

2 1862, 9688
7 931, 4844
133, 692

∴ So the LCM of the given numbers is 2 x 7 x 133 x 692 = 1288504

Least Common Multiple of 1862,9688 with GCF Formula

Least Common Multiple of 1862,9688 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 1862,9688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1862,9688) = 14

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

GCF(1862,9688) x common factors =14 x 1 = 14

LCM(1862,9688) = ( 1862 × 9688 ) / 14

LCM(1862,9688) = 18039056 / 14

LCM(1862,9688) = 1288504


Lets's calculate GCF of 174,924

2 174, 924
3 87, 462
29, 154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1288504/6

Therefore the LCM of Fractions 1862/174,9688/924 is 1288504/6

Greatest Common Factor of 174,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,924 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 174,924 . The biggest common factor number is the GCF number.
So the greatest common factor 174,924 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 1862/174, 9688/924

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 1862/174, 9688/924?

Answer: LCM of Numerators as per given numbers 1862/174, 9688/924 is

LCM of Numerators i.e. for 1862,9688 is 1288504

GCF of denominators i.e. for 174,924 is 6.

Thus, LCM of Fractions is 1288504/6.Finally, LCM of Fractions for 1862/174, 9688/924 is 1288504/6.