Least Common Multiple of 970/675, 870/896, 426/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 970/675, 870/896, 426/295 quickly i.e. 5991690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/675, 870/896, 426/295 is 5991690.

LCM(970/675, 870/896, 426/295) = 5991690

LCM of 970/675, 870/896, 426/295

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 970/675,870/896,426/295

Given numbers are 970/675,870/896,426/295

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 970,870,426

Least Common Multiple of Numerators i.e. LCM of 970,870,426 is 5991690.

GCF of Denominators means GCF of 675,896,295 as per the given fractions.

GCF of 675,896,295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,870,426

LCM of Fractions 970/675,870/896,426/295 is 5991690

2 970, 870, 426
3 485, 435, 213
5 485, 145, 71
97, 29, 71

∴ So the LCM of the given numbers is 2 x 3 x 5 x 97 x 29 x 71 = 5991690

Least Common Multiple of 970,870,426 with GCF Formula

Least Common Multiple of 970,870,426 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 970,870,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,870,426) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(970,870,426) x common factors =2 x 30 = 60

LCM(970,870,426) = ( 970 × 870 × 426 ) / 60

LCM(970,870,426) = 359501400 / 60

LCM(970,870,426) = 5991690


Lets's calculate GCF of 675,896,295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5991690/1

Therefore the LCM of Fractions 970/675,870/896,426/295 is 5991690

Greatest Common Factor of 675,896,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,896,295 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 675,896,295 . The biggest common factor number is the GCF number.
So the greatest common factor 675,896,295 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 970/675, 870/896, 426/295

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 970/675, 870/896, 426/295?

Answer: LCM of Numerators as per given numbers 970/675, 870/896, 426/295 is

LCM of Numerators i.e. for 970,870,426 is 5991690

GCF of denominators i.e. for 675,896,295 is 1.

Thus, LCM of Fractions is 5991690.Finally, LCM of Fractions for 970/675, 870/896, 426/295 is 5991690.