Least Common Multiple of 847/66, 101/88, 957/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 847/66, 101/88, 957/440 quickly i.e. 7442589/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 847/66, 101/88, 957/440 is 7442589/22.

LCM(847/66, 101/88, 957/440) = 7442589/22

LCM of 847/66, 101/88, 957/440

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 847/66,101/88,957/440

Given numbers are 847/66,101/88,957/440

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 847,101,957

Least Common Multiple of Numerators i.e. LCM of 847,101,957 is 7442589.

GCF of Denominators means GCF of 66,88,440 as per the given fractions.

GCF of 66,88,440 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 847,101,957

LCM of Fractions 847/66,101/88,957/440 is 7442589/22

11 847, 101, 957
77, 101, 87

∴ So the LCM of the given numbers is 11 x 77 x 101 x 87 = 7442589

Least Common Multiple of 847,101,957 with GCF Formula

Least Common Multiple of 847,101,957 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 847,101,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,101,957) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(847,101,957) x common factors =1 x 11 = 11

LCM(847,101,957) = ( 847 × 101 × 957 ) / 11

LCM(847,101,957) = 81868479 / 11

LCM(847,101,957) = 7442589


Lets's calculate GCF of 66,88,440

2 66, 88, 440
11 33, 44, 220
3, 4, 20

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7442589/22

Therefore the LCM of Fractions 847/66,101/88,957/440 is 7442589/22

Greatest Common Factor of 66,88,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,88,440 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 66,88,440 . The biggest common factor number is the GCF number.
So the greatest common factor 66,88,440 is 22.


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 847/66, 101/88, 957/440

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 847/66, 101/88, 957/440?

Answer: LCM of Numerators as per given numbers 847/66, 101/88, 957/440 is

LCM of Numerators i.e. for 847,101,957 is 7442589

GCF of denominators i.e. for 66,88,440 is 22.

Thus, LCM of Fractions is 7442589/22.Finally, LCM of Fractions for 847/66, 101/88, 957/440 is 7442589/22.