Least Common Multiple of 952/19, 553/15, 969/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 952/19, 553/15, 969/860 quickly i.e. 4286856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 952/19, 553/15, 969/860 is 4286856.

LCM(952/19, 553/15, 969/860) = 4286856

LCM of 952/19, 553/15, 969/860

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 952/19,553/15,969/860

Given numbers are 952/19,553/15,969/860

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 952,553,969

Least Common Multiple of Numerators i.e. LCM of 952,553,969 is 4286856.

GCF of Denominators means GCF of 19,15,860 as per the given fractions.

GCF of 19,15,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 952,553,969

LCM of Fractions 952/19,553/15,969/860 is 4286856

7 952, 553, 969
17 136, 79, 969
8, 79, 57

∴ So the LCM of the given numbers is 7 x 17 x 8 x 79 x 57 = 4286856

Least Common Multiple of 952,553,969 with GCF Formula

Least Common Multiple of 952,553,969 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 952,553,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,553,969) = 1

common factors(in case of two or more numbers have common factors) = 119

GCF(952,553,969) x common factors =1 x 119 = 119

LCM(952,553,969) = ( 952 × 553 × 969 ) / 119

LCM(952,553,969) = 510135864 / 119

LCM(952,553,969) = 4286856


Lets's calculate GCF of 19,15,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4286856/1

Therefore the LCM of Fractions 952/19,553/15,969/860 is 4286856

Greatest Common Factor of 19,15,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,15,860 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 19,15,860 . The biggest common factor number is the GCF number.
So the greatest common factor 19,15,860 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 952/19, 553/15, 969/860

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 952/19, 553/15, 969/860?

Answer: LCM of Numerators as per given numbers 952/19, 553/15, 969/860 is

LCM of Numerators i.e. for 952,553,969 is 4286856

GCF of denominators i.e. for 19,15,860 is 1.

Thus, LCM of Fractions is 4286856.Finally, LCM of Fractions for 952/19, 553/15, 969/860 is 4286856.