Least Common Multiple of 70/191, 948/210, 669/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/191, 948/210, 669/861 quickly i.e. 7399140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/191, 948/210, 669/861 is 7399140.

LCM(70/191, 948/210, 669/861) = 7399140

LCM of 70/191, 948/210, 669/861

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 70/191,948/210,669/861

Given numbers are 70/191,948/210,669/861

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 70,948,669

Least Common Multiple of Numerators i.e. LCM of 70,948,669 is 7399140.

GCF of Denominators means GCF of 191,210,861 as per the given fractions.

GCF of 191,210,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,948,669

LCM of Fractions 70/191,948/210,669/861 is 7399140

2 70, 948, 669
3 35, 474, 669
35, 158, 223

∴ So the LCM of the given numbers is 2 x 3 x 35 x 158 x 223 = 7399140

Least Common Multiple of 70,948,669 with GCF Formula

Least Common Multiple of 70,948,669 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 70,948,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,948,669) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(70,948,669) x common factors =1 x 6 = 6

LCM(70,948,669) = ( 70 × 948 × 669 ) / 6

LCM(70,948,669) = 44394840 / 6

LCM(70,948,669) = 7399140


Lets's calculate GCF of 191,210,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7399140/1

Therefore the LCM of Fractions 70/191,948/210,669/861 is 7399140

Greatest Common Factor of 191,210,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 191,210,861 By Matching Biggest Common Factor Method

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 191,210,861 . The biggest common factor number is the GCF number.
So the greatest common factor 191,210,861 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/191, 948/210, 669/861

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 70/191, 948/210, 669/861?

Answer: LCM of Numerators as per given numbers 70/191, 948/210, 669/861 is

LCM of Numerators i.e. for 70,948,669 is 7399140

GCF of denominators i.e. for 191,210,861 is 1.

Thus, LCM of Fractions is 7399140.Finally, LCM of Fractions for 70/191, 948/210, 669/861 is 7399140.