Least Common Multiple of 74/350, 156/249, 911/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/350, 156/249, 911/952 quickly i.e. 5258292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/350, 156/249, 911/952 is 5258292.

LCM(74/350, 156/249, 911/952) = 5258292

LCM of 74/350, 156/249, 911/952

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 74/350,156/249,911/952

Given numbers are 74/350,156/249,911/952

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 74,156,911

Least Common Multiple of Numerators i.e. LCM of 74,156,911 is 5258292.

GCF of Denominators means GCF of 350,249,952 as per the given fractions.

GCF of 350,249,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,156,911

LCM of Fractions 74/350,156/249,911/952 is 5258292

2 74, 156, 911
37, 78, 911

∴ So the LCM of the given numbers is 2 x 37 x 78 x 911 = 5258292

Least Common Multiple of 74,156,911 with GCF Formula

Least Common Multiple of 74,156,911 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 74,156,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,156,911) = 1

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

GCF(74,156,911) x common factors =1 x 2 = 2

LCM(74,156,911) = ( 74 × 156 × 911 ) / 2

LCM(74,156,911) = 10516584 / 2

LCM(74,156,911) = 5258292


Lets's calculate GCF of 350,249,952

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5258292/1

Therefore the LCM of Fractions 74/350,156/249,911/952 is 5258292

Greatest Common Factor of 350,249,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,249,952 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

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

Greatest Common Factor

We found the factors 350,249,952 . The biggest common factor number is the GCF number.
So the greatest common factor 350,249,952 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 74/350, 156/249, 911/952

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 74/350, 156/249, 911/952?

Answer: LCM of Numerators as per given numbers 74/350, 156/249, 911/952 is

LCM of Numerators i.e. for 74,156,911 is 5258292

GCF of denominators i.e. for 350,249,952 is 1.

Thus, LCM of Fractions is 5258292.Finally, LCM of Fractions for 74/350, 156/249, 911/952 is 5258292.