Least Common Multiple of 852/67, 374/50, 308/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/67, 374/50, 308/967 quickly i.e. 1115268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/67, 374/50, 308/967 is 1115268.

LCM(852/67, 374/50, 308/967) = 1115268

LCM of 852/67, 374/50, 308/967

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 852/67,374/50,308/967

Given numbers are 852/67,374/50,308/967

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 852,374,308

Least Common Multiple of Numerators i.e. LCM of 852,374,308 is 1115268.

GCF of Denominators means GCF of 67,50,967 as per the given fractions.

GCF of 67,50,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,374,308

LCM of Fractions 852/67,374/50,308/967 is 1115268

2 852, 374, 308
2 426, 187, 154
11 213, 187, 77
213, 17, 7

∴ So the LCM of the given numbers is 2 x 2 x 11 x 213 x 17 x 7 = 1115268

Least Common Multiple of 852,374,308 with GCF Formula

Least Common Multiple of 852,374,308 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 852,374,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,374,308) = 2

common factors(in case of two or more numbers have common factors) = 44

GCF(852,374,308) x common factors =2 x 44 = 88

LCM(852,374,308) = ( 852 × 374 × 308 ) / 88

LCM(852,374,308) = 98143584 / 88

LCM(852,374,308) = 1115268


Lets's calculate GCF of 67,50,967

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1115268/1

Therefore the LCM of Fractions 852/67,374/50,308/967 is 1115268

Greatest Common Factor of 67,50,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,50,967 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 50

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

1,2,5,10,25,50

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 67,50,967 . The biggest common factor number is the GCF number.
So the greatest common factor 67,50,967 is 1.


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 852/67, 374/50, 308/967

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 852/67, 374/50, 308/967?

Answer: LCM of Numerators as per given numbers 852/67, 374/50, 308/967 is

LCM of Numerators i.e. for 852,374,308 is 1115268

GCF of denominators i.e. for 67,50,967 is 1.

Thus, LCM of Fractions is 1115268.Finally, LCM of Fractions for 852/67, 374/50, 308/967 is 1115268.