Least Common Multiple of 46/901, 948/776, 759/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/901, 948/776, 759/950 quickly i.e. 239844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/901, 948/776, 759/950 is 239844.

LCM(46/901, 948/776, 759/950) = 239844

LCM of 46/901, 948/776, 759/950

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 46/901,948/776,759/950

Given numbers are 46/901,948/776,759/950

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 46,948,759

Least Common Multiple of Numerators i.e. LCM of 46,948,759 is 239844.

GCF of Denominators means GCF of 901,776,950 as per the given fractions.

GCF of 901,776,950 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,948,759

LCM of Fractions 46/901,948/776,759/950 is 239844

2 46, 948, 759
3 23, 474, 759
23 23, 158, 253
1, 158, 11

∴ So the LCM of the given numbers is 2 x 3 x 23 x 1 x 158 x 11 = 239844

Least Common Multiple of 46,948,759 with GCF Formula

Least Common Multiple of 46,948,759 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 46,948,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,948,759) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(46,948,759) x common factors =1 x 138 = 138

LCM(46,948,759) = ( 46 × 948 × 759 ) / 138

LCM(46,948,759) = 33098472 / 138

LCM(46,948,759) = 239844


Lets's calculate GCF of 901,776,950

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239844/1

Therefore the LCM of Fractions 46/901,948/776,759/950 is 239844

Greatest Common Factor of 901,776,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,776,950 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 901,776,950 . The biggest common factor number is the GCF number.
So the greatest common factor 901,776,950 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/901, 948/776, 759/950

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 46/901, 948/776, 759/950?

Answer: LCM of Numerators as per given numbers 46/901, 948/776, 759/950 is

LCM of Numerators i.e. for 46,948,759 is 239844

GCF of denominators i.e. for 901,776,950 is 1.

Thus, LCM of Fractions is 239844.Finally, LCM of Fractions for 46/901, 948/776, 759/950 is 239844.