Least Common Multiple of 895/690, 219/874, 735/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 895/690, 219/874, 735/341 quickly i.e. 9604245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 895/690, 219/874, 735/341 is 9604245.

LCM(895/690, 219/874, 735/341) = 9604245

LCM of 895/690, 219/874, 735/341

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 895/690,219/874,735/341

Given numbers are 895/690,219/874,735/341

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 895,219,735

Least Common Multiple of Numerators i.e. LCM of 895,219,735 is 9604245.

GCF of Denominators means GCF of 690,874,341 as per the given fractions.

GCF of 690,874,341 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 895,219,735

LCM of Fractions 895/690,219/874,735/341 is 9604245

3 895, 219, 735
5 895, 73, 245
179, 73, 49

∴ So the LCM of the given numbers is 3 x 5 x 179 x 73 x 49 = 9604245

Least Common Multiple of 895,219,735 with GCF Formula

Least Common Multiple of 895,219,735 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 895,219,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,219,735) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(895,219,735) x common factors =1 x 15 = 15

LCM(895,219,735) = ( 895 × 219 × 735 ) / 15

LCM(895,219,735) = 144063675 / 15

LCM(895,219,735) = 9604245


Lets's calculate GCF of 690,874,341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9604245/1

Therefore the LCM of Fractions 895/690,219/874,735/341 is 9604245

Greatest Common Factor of 690,874,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,874,341 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 690,874,341 . The biggest common factor number is the GCF number.
So the greatest common factor 690,874,341 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 895/690, 219/874, 735/341

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 895/690, 219/874, 735/341?

Answer: LCM of Numerators as per given numbers 895/690, 219/874, 735/341 is

LCM of Numerators i.e. for 895,219,735 is 9604245

GCF of denominators i.e. for 690,874,341 is 1.

Thus, LCM of Fractions is 9604245.Finally, LCM of Fractions for 895/690, 219/874, 735/341 is 9604245.