Least Common Multiple of 49/951, 48/997, 336/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/951, 48/997, 336/964 quickly i.e. 2352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/951, 48/997, 336/964 is 2352.

LCM(49/951, 48/997, 336/964) = 2352

LCM of 49/951, 48/997, 336/964

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 49/951,48/997,336/964

Given numbers are 49/951,48/997,336/964

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 49,48,336

Least Common Multiple of Numerators i.e. LCM of 49,48,336 is 2352.

GCF of Denominators means GCF of 951,997,964 as per the given fractions.

GCF of 951,997,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,48,336

LCM of Fractions 49/951,48/997,336/964 is 2352

2 49, 48, 336
2 49, 24, 168
2 49, 12, 84
2 49, 6, 42
3 49, 3, 21
7 49, 1, 7
1, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 1 x 1 x 7 = 2352

Least Common Multiple of 49,48,336 with GCF Formula

Least Common Multiple of 49,48,336 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 49,48,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,48,336) = 1

common factors(in case of two or more numbers have common factors) = 336

GCF(49,48,336) x common factors =1 x 336 = 336

LCM(49,48,336) = ( 49 × 48 × 336 ) / 336

LCM(49,48,336) = 790272 / 336

LCM(49,48,336) = 2352


Lets's calculate GCF of 951,997,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2352/1

Therefore the LCM of Fractions 49/951,48/997,336/964 is 2352

Greatest Common Factor of 951,997,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,997,964 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 951,997,964 . The biggest common factor number is the GCF number.
So the greatest common factor 951,997,964 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 49/951, 48/997, 336/964

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 49/951, 48/997, 336/964?

Answer: LCM of Numerators as per given numbers 49/951, 48/997, 336/964 is

LCM of Numerators i.e. for 49,48,336 is 2352

GCF of denominators i.e. for 951,997,964 is 1.

Thus, LCM of Fractions is 2352.Finally, LCM of Fractions for 49/951, 48/997, 336/964 is 2352.