Least Common Multiple of 954/49, 816/83, 374/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 954/49, 816/83, 374/889 quickly i.e. 1427184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 954/49, 816/83, 374/889 is 1427184.

LCM(954/49, 816/83, 374/889) = 1427184

LCM of 954/49, 816/83, 374/889

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 954/49,816/83,374/889

Given numbers are 954/49,816/83,374/889

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 954,816,374

Least Common Multiple of Numerators i.e. LCM of 954,816,374 is 1427184.

GCF of Denominators means GCF of 49,83,889 as per the given fractions.

GCF of 49,83,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 954,816,374

LCM of Fractions 954/49,816/83,374/889 is 1427184

2 954, 816, 374
3 477, 408, 187
17 159, 136, 187
159, 8, 11

∴ So the LCM of the given numbers is 2 x 3 x 17 x 159 x 8 x 11 = 1427184

Least Common Multiple of 954,816,374 with GCF Formula

Least Common Multiple of 954,816,374 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 954,816,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,816,374) = 2

common factors(in case of two or more numbers have common factors) = 102

GCF(954,816,374) x common factors =2 x 102 = 204

LCM(954,816,374) = ( 954 × 816 × 374 ) / 204

LCM(954,816,374) = 291145536 / 204

LCM(954,816,374) = 1427184


Lets's calculate GCF of 49,83,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1427184/1

Therefore the LCM of Fractions 954/49,816/83,374/889 is 1427184

Greatest Common Factor of 49,83,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,83,889 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 49,83,889 . The biggest common factor number is the GCF number.
So the greatest common factor 49,83,889 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 954/49, 816/83, 374/889

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 954/49, 816/83, 374/889?

Answer: LCM of Numerators as per given numbers 954/49, 816/83, 374/889 is

LCM of Numerators i.e. for 954,816,374 is 1427184

GCF of denominators i.e. for 49,83,889 is 1.

Thus, LCM of Fractions is 1427184.Finally, LCM of Fractions for 954/49, 816/83, 374/889 is 1427184.