Least Common Multiple of 462/913, 879/795, 970/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/913, 879/795, 970/137 quickly i.e. 65652510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/913, 879/795, 970/137 is 65652510.

LCM(462/913, 879/795, 970/137) = 65652510

LCM of 462/913, 879/795, 970/137

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 462/913,879/795,970/137

Given numbers are 462/913,879/795,970/137

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 462,879,970

Least Common Multiple of Numerators i.e. LCM of 462,879,970 is 65652510.

GCF of Denominators means GCF of 913,795,137 as per the given fractions.

GCF of 913,795,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,879,970

LCM of Fractions 462/913,879/795,970/137 is 65652510

2 462, 879, 970
3 231, 879, 485
77, 293, 485

∴ So the LCM of the given numbers is 2 x 3 x 77 x 293 x 485 = 65652510

Least Common Multiple of 462,879,970 with GCF Formula

Least Common Multiple of 462,879,970 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 462,879,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,879,970) = 1

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

GCF(462,879,970) x common factors =1 x 6 = 6

LCM(462,879,970) = ( 462 × 879 × 970 ) / 6

LCM(462,879,970) = 393915060 / 6

LCM(462,879,970) = 65652510


Lets's calculate GCF of 913,795,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65652510/1

Therefore the LCM of Fractions 462/913,879/795,970/137 is 65652510

Greatest Common Factor of 913,795,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,795,137 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 913,795,137 . The biggest common factor number is the GCF number.
So the greatest common factor 913,795,137 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 462/913, 879/795, 970/137

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 462/913, 879/795, 970/137?

Answer: LCM of Numerators as per given numbers 462/913, 879/795, 970/137 is

LCM of Numerators i.e. for 462,879,970 is 65652510

GCF of denominators i.e. for 913,795,137 is 1.

Thus, LCM of Fractions is 65652510.Finally, LCM of Fractions for 462/913, 879/795, 970/137 is 65652510.