Least Common Multiple of 102/874, 7596/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 102/874, 7596/830 quickly i.e. 64566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/874, 7596/830 is 64566.

LCM(102/874, 7596/830) = 64566

LCM of 102/874, 7596/830

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 102/874,7596/830

Given numbers are 102/874,7596/830

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 102,7596

Least Common Multiple of Numerators i.e. LCM of 102,7596 is 129132.

GCF of Denominators means GCF of 874,830 as per the given fractions.

GCF of 874,830 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,7596

LCM of Fractions 102/874,7596/830 is 64566

2 102, 7596
3 51, 3798
17, 1266

∴ So the LCM of the given numbers is 2 x 3 x 17 x 1266 = 129132

Least Common Multiple of 102,7596 with GCF Formula

Least Common Multiple of 102,7596 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 102,7596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,7596) = 6

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

GCF(102,7596) x common factors =6 x 1 = 6

LCM(102,7596) = ( 102 × 7596 ) / 6

LCM(102,7596) = 774792 / 6

LCM(102,7596) = 129132


Lets's calculate GCF of 874,830

2 874, 830
437, 415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129132/2

Therefore the LCM of Fractions 102/874,7596/830 is 64566

Greatest Common Factor of 874,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,830 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 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 874,830 . The biggest common factor number is the GCF number.
So the greatest common factor 874,830 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 102/874, 7596/830

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 102/874, 7596/830?

Answer: LCM of Numerators as per given numbers 102/874, 7596/830 is

LCM of Numerators i.e. for 102,7596 is 129132

GCF of denominators i.e. for 874,830 is 2.

Thus, LCM of Fractions is 64566.Finally, LCM of Fractions for 102/874, 7596/830 is 64566.