Least Common Multiple of 849/115, 801/702, 962/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/115, 801/702, 962/986 quickly i.e. 218069046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/115, 801/702, 962/986 is 218069046.

LCM(849/115, 801/702, 962/986) = 218069046

LCM of 849/115, 801/702, 962/986

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 849/115,801/702,962/986

Given numbers are 849/115,801/702,962/986

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 849,801,962

Least Common Multiple of Numerators i.e. LCM of 849,801,962 is 218069046.

GCF of Denominators means GCF of 115,702,986 as per the given fractions.

GCF of 115,702,986 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,801,962

LCM of Fractions 849/115,801/702,962/986 is 218069046

3 849, 801, 962
283, 267, 962

∴ So the LCM of the given numbers is 3 x 283 x 267 x 962 = 218069046

Least Common Multiple of 849,801,962 with GCF Formula

Least Common Multiple of 849,801,962 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 849,801,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,801,962) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(849,801,962) x common factors =1 x 3 = 3

LCM(849,801,962) = ( 849 × 801 × 962 ) / 3

LCM(849,801,962) = 654207138 / 3

LCM(849,801,962) = 218069046


Lets's calculate GCF of 115,702,986

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218069046/1

Therefore the LCM of Fractions 849/115,801/702,962/986 is 218069046

Greatest Common Factor of 115,702,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,702,986 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

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

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 115,702,986 . The biggest common factor number is the GCF number.
So the greatest common factor 115,702,986 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 849/115, 801/702, 962/986

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 849/115, 801/702, 962/986?

Answer: LCM of Numerators as per given numbers 849/115, 801/702, 962/986 is

LCM of Numerators i.e. for 849,801,962 is 218069046

GCF of denominators i.e. for 115,702,986 is 1.

Thus, LCM of Fractions is 218069046.Finally, LCM of Fractions for 849/115, 801/702, 962/986 is 218069046.