Least Common Multiple of 35/964, 400/567, 949/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/964, 400/567, 949/147 quickly i.e. 2657200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/964, 400/567, 949/147 is 2657200.

LCM(35/964, 400/567, 949/147) = 2657200

LCM of 35/964, 400/567, 949/147

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 35/964,400/567,949/147

Given numbers are 35/964,400/567,949/147

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 35,400,949

Least Common Multiple of Numerators i.e. LCM of 35,400,949 is 2657200.

GCF of Denominators means GCF of 964,567,147 as per the given fractions.

GCF of 964,567,147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,400,949

LCM of Fractions 35/964,400/567,949/147 is 2657200

5 35, 400, 949
7, 80, 949

∴ So the LCM of the given numbers is 5 x 7 x 80 x 949 = 2657200

Least Common Multiple of 35,400,949 with GCF Formula

Least Common Multiple of 35,400,949 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 35,400,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,400,949) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,400,949) x common factors =1 x 5 = 5

LCM(35,400,949) = ( 35 × 400 × 949 ) / 5

LCM(35,400,949) = 13286000 / 5

LCM(35,400,949) = 2657200


Lets's calculate GCF of 964,567,147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2657200/1

Therefore the LCM of Fractions 35/964,400/567,949/147 is 2657200

Greatest Common Factor of 964,567,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,567,147 By Matching Biggest Common Factor Method

Factors of 964

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

1,2,4,241,482,964

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 964,567,147 . The biggest common factor number is the GCF number.
So the greatest common factor 964,567,147 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 35/964, 400/567, 949/147

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 35/964, 400/567, 949/147?

Answer: LCM of Numerators as per given numbers 35/964, 400/567, 949/147 is

LCM of Numerators i.e. for 35,400,949 is 2657200

GCF of denominators i.e. for 964,567,147 is 1.

Thus, LCM of Fractions is 2657200.Finally, LCM of Fractions for 35/964, 400/567, 949/147 is 2657200.