Least Common Multiple of 63/89, 319/79, 119/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/89, 319/79, 119/974 quickly i.e. 341649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/89, 319/79, 119/974 is 341649.

LCM(63/89, 319/79, 119/974) = 341649

LCM of 63/89, 319/79, 119/974

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 63/89,319/79,119/974

Given numbers are 63/89,319/79,119/974

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 63,319,119

Least Common Multiple of Numerators i.e. LCM of 63,319,119 is 341649.

GCF of Denominators means GCF of 89,79,974 as per the given fractions.

GCF of 89,79,974 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,319,119

LCM of Fractions 63/89,319/79,119/974 is 341649

7 63, 319, 119
9, 319, 17

∴ So the LCM of the given numbers is 7 x 9 x 319 x 17 = 341649

Least Common Multiple of 63,319,119 with GCF Formula

Least Common Multiple of 63,319,119 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 63,319,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,319,119) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(63,319,119) x common factors =1 x 7 = 7

LCM(63,319,119) = ( 63 × 319 × 119 ) / 7

LCM(63,319,119) = 2391543 / 7

LCM(63,319,119) = 341649


Lets's calculate GCF of 89,79,974

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341649/1

Therefore the LCM of Fractions 63/89,319/79,119/974 is 341649

Greatest Common Factor of 89,79,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,79,974 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 89,79,974 . The biggest common factor number is the GCF number.
So the greatest common factor 89,79,974 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 63/89, 319/79, 119/974

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 63/89, 319/79, 119/974?

Answer: LCM of Numerators as per given numbers 63/89, 319/79, 119/974 is

LCM of Numerators i.e. for 63,319,119 is 341649

GCF of denominators i.e. for 89,79,974 is 1.

Thus, LCM of Fractions is 341649.Finally, LCM of Fractions for 63/89, 319/79, 119/974 is 341649.