Least Common Multiple of 850/50, 925/6896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 850/50, 925/6896 quickly i.e. 15725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 850/50, 925/6896 is 15725.

LCM(850/50, 925/6896) = 15725

LCM of 850/50, 925/6896

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 850/50,925/6896

Given numbers are 850/50,925/6896

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 850,925

Least Common Multiple of Numerators i.e. LCM of 850,925 is 31450.

GCF of Denominators means GCF of 50,6896 as per the given fractions.

GCF of 50,6896 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 850,925

LCM of Fractions 850/50,925/6896 is 15725

5 850, 925
5 170, 185
34, 37

∴ So the LCM of the given numbers is 5 x 5 x 34 x 37 = 31450

Least Common Multiple of 850,925 with GCF Formula

Least Common Multiple of 850,925 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 850,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,925) = 25

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

GCF(850,925) x common factors =25 x 1 = 25

LCM(850,925) = ( 850 × 925 ) / 25

LCM(850,925) = 786250 / 25

LCM(850,925) = 31450


Lets's calculate GCF of 50,6896

2 50, 6896
25, 3448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31450/2

Therefore the LCM of Fractions 850/50,925/6896 is 15725

Greatest Common Factor of 50,6896 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,6896 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 6896

List of positive integer factors of 6896 that divides 6896 without a remainder.

1,2,4,8,16,431,862,1724,3448,6896

Greatest Common Factor

We found the factors 50,6896 . The biggest common factor number is the GCF number.
So the greatest common factor 50,6896 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 850/50, 925/6896

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 850/50, 925/6896?

Answer: LCM of Numerators as per given numbers 850/50, 925/6896 is

LCM of Numerators i.e. for 850,925 is 31450

GCF of denominators i.e. for 50,6896 is 2.

Thus, LCM of Fractions is 15725.Finally, LCM of Fractions for 850/50, 925/6896 is 15725.