Least Common Multiple of 74/316, 119/989, 262/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/316, 119/989, 262/662 quickly i.e. 1153586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/316, 119/989, 262/662 is 1153586.

LCM(74/316, 119/989, 262/662) = 1153586

LCM of 74/316, 119/989, 262/662

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 74/316,119/989,262/662

Given numbers are 74/316,119/989,262/662

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 74,119,262

Least Common Multiple of Numerators i.e. LCM of 74,119,262 is 1153586.

GCF of Denominators means GCF of 316,989,662 as per the given fractions.

GCF of 316,989,662 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,119,262

LCM of Fractions 74/316,119/989,262/662 is 1153586

2 74, 119, 262
37, 119, 131

∴ So the LCM of the given numbers is 2 x 37 x 119 x 131 = 1153586

Least Common Multiple of 74,119,262 with GCF Formula

Least Common Multiple of 74,119,262 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 74,119,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,119,262) = 1

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

GCF(74,119,262) x common factors =1 x 2 = 2

LCM(74,119,262) = ( 74 × 119 × 262 ) / 2

LCM(74,119,262) = 2307172 / 2

LCM(74,119,262) = 1153586


Lets's calculate GCF of 316,989,662

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1153586/1

Therefore the LCM of Fractions 74/316,119/989,262/662 is 1153586

Greatest Common Factor of 316,989,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,989,662 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 316,989,662 . The biggest common factor number is the GCF number.
So the greatest common factor 316,989,662 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 74/316, 119/989, 262/662

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 74/316, 119/989, 262/662?

Answer: LCM of Numerators as per given numbers 74/316, 119/989, 262/662 is

LCM of Numerators i.e. for 74,119,262 is 1153586

GCF of denominators i.e. for 316,989,662 is 1.

Thus, LCM of Fractions is 1153586.Finally, LCM of Fractions for 74/316, 119/989, 262/662 is 1153586.