Least Common Multiple of 34/952, 578/884, 390/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/952, 578/884, 390/119 quickly i.e. 6630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/952, 578/884, 390/119 is 6630.

LCM(34/952, 578/884, 390/119) = 6630

LCM of 34/952, 578/884, 390/119

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 34/952,578/884,390/119

Given numbers are 34/952,578/884,390/119

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 34,578,390

Least Common Multiple of Numerators i.e. LCM of 34,578,390 is 112710.

GCF of Denominators means GCF of 952,884,119 as per the given fractions.

GCF of 952,884,119 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,578,390

LCM of Fractions 34/952,578/884,390/119 is 6630

2 34, 578, 390
17 17, 289, 195
1, 17, 195

∴ So the LCM of the given numbers is 2 x 17 x 1 x 17 x 195 = 112710

Least Common Multiple of 34,578,390 with GCF Formula

Least Common Multiple of 34,578,390 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 34,578,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,578,390) = 2

common factors(in case of two or more numbers have common factors) = 34

GCF(34,578,390) x common factors =2 x 34 = 68

LCM(34,578,390) = ( 34 × 578 × 390 ) / 68

LCM(34,578,390) = 7664280 / 68

LCM(34,578,390) = 112710


Lets's calculate GCF of 952,884,119

17 952, 884, 119
56, 52, 7

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112710/17

Therefore the LCM of Fractions 34/952,578/884,390/119 is 6630

Greatest Common Factor of 952,884,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,884,119 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 952,884,119 . The biggest common factor number is the GCF number.
So the greatest common factor 952,884,119 is 17.


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 34/952, 578/884, 390/119

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 34/952, 578/884, 390/119?

Answer: LCM of Numerators as per given numbers 34/952, 578/884, 390/119 is

LCM of Numerators i.e. for 34,578,390 is 112710

GCF of denominators i.e. for 952,884,119 is 17.

Thus, LCM of Fractions is 6630.Finally, LCM of Fractions for 34/952, 578/884, 390/119 is 6630.