Least Common Multiple of 34/974, 89/101, 842/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/974, 89/101, 842/376 quickly i.e. 1273946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/974, 89/101, 842/376 is 1273946.

LCM(34/974, 89/101, 842/376) = 1273946

LCM of 34/974, 89/101, 842/376

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 34/974,89/101,842/376

Given numbers are 34/974,89/101,842/376

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 34,89,842

Least Common Multiple of Numerators i.e. LCM of 34,89,842 is 1273946.

GCF of Denominators means GCF of 974,101,376 as per the given fractions.

GCF of 974,101,376 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,89,842

LCM of Fractions 34/974,89/101,842/376 is 1273946

2 34, 89, 842
17, 89, 421

∴ So the LCM of the given numbers is 2 x 17 x 89 x 421 = 1273946

Least Common Multiple of 34,89,842 with GCF Formula

Least Common Multiple of 34,89,842 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 34,89,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,89,842) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,89,842) x common factors =1 x 2 = 2

LCM(34,89,842) = ( 34 × 89 × 842 ) / 2

LCM(34,89,842) = 2547892 / 2

LCM(34,89,842) = 1273946


Lets's calculate GCF of 974,101,376

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1273946/1

Therefore the LCM of Fractions 34/974,89/101,842/376 is 1273946

Greatest Common Factor of 974,101,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,101,376 By Matching Biggest Common Factor Method

Factors of 974

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

1,2,487,974

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 974,101,376 . The biggest common factor number is the GCF number.
So the greatest common factor 974,101,376 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 34/974, 89/101, 842/376

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 34/974, 89/101, 842/376?

Answer: LCM of Numerators as per given numbers 34/974, 89/101, 842/376 is

LCM of Numerators i.e. for 34,89,842 is 1273946

GCF of denominators i.e. for 974,101,376 is 1.

Thus, LCM of Fractions is 1273946.Finally, LCM of Fractions for 34/974, 89/101, 842/376 is 1273946.