Least Common Multiple of 836/896, 4356/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 836/896, 4356/102 quickly i.e. 41382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 836/896, 4356/102 is 41382.

LCM(836/896, 4356/102) = 41382

LCM of 836/896, 4356/102

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 836/896,4356/102

Given numbers are 836/896,4356/102

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 836,4356

Least Common Multiple of Numerators i.e. LCM of 836,4356 is 82764.

GCF of Denominators means GCF of 896,102 as per the given fractions.

GCF of 896,102 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 836,4356

LCM of Fractions 836/896,4356/102 is 41382

2 836, 4356
2 418, 2178
11 209, 1089
19, 99

∴ So the LCM of the given numbers is 2 x 2 x 11 x 19 x 99 = 82764

Least Common Multiple of 836,4356 with GCF Formula

Least Common Multiple of 836,4356 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 836,4356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,4356) = 44

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

GCF(836,4356) x common factors =44 x 1 = 44

LCM(836,4356) = ( 836 × 4356 ) / 44

LCM(836,4356) = 3641616 / 44

LCM(836,4356) = 82764


Lets's calculate GCF of 896,102

2 896, 102
448, 51

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82764/2

Therefore the LCM of Fractions 836/896,4356/102 is 41382

Greatest Common Factor of 896,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,102 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 896,102 . The biggest common factor number is the GCF number.
So the greatest common factor 896,102 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 836/896, 4356/102

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 836/896, 4356/102?

Answer: LCM of Numerators as per given numbers 836/896, 4356/102 is

LCM of Numerators i.e. for 836,4356 is 82764

GCF of denominators i.e. for 896,102 is 2.

Thus, LCM of Fractions is 41382.Finally, LCM of Fractions for 836/896, 4356/102 is 41382.