Least Common Multiple of 31/884, 67/851, 114/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/884, 67/851, 114/702 quickly i.e. 236778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/884, 67/851, 114/702 is 236778.

LCM(31/884, 67/851, 114/702) = 236778

LCM of 31/884, 67/851, 114/702

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 31/884,67/851,114/702

Given numbers are 31/884,67/851,114/702

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 31,67,114

Least Common Multiple of Numerators i.e. LCM of 31,67,114 is 236778.

GCF of Denominators means GCF of 884,851,702 as per the given fractions.

GCF of 884,851,702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,67,114

LCM of Fractions 31/884,67/851,114/702 is 236778

Given numbers has no common factors except 1. So, there LCM is their product i.e 236778

Least Common Multiple of 31,67,114 with GCF Formula

Least Common Multiple of 31,67,114 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 31,67,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,67,114) = 1

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

GCF(31,67,114) x common factors =1 x 1 = 1

LCM(31,67,114) = ( 31 × 67 × 114 ) / 1

LCM(31,67,114) = 236778 / 1

LCM(31,67,114) = 236778


Lets's calculate GCF of 884,851,702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236778/1

Therefore the LCM of Fractions 31/884,67/851,114/702 is 236778

Greatest Common Factor of 884,851,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,851,702 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 884,851,702 . The biggest common factor number is the GCF number.
So the greatest common factor 884,851,702 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 31/884, 67/851, 114/702

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 31/884, 67/851, 114/702?

Answer: LCM of Numerators as per given numbers 31/884, 67/851, 114/702 is

LCM of Numerators i.e. for 31,67,114 is 236778

GCF of denominators i.e. for 884,851,702 is 1.

Thus, LCM of Fractions is 236778.Finally, LCM of Fractions for 31/884, 67/851, 114/702 is 236778.