Least Common Multiple of 970/937, 222/942, 185/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 970/937, 222/942, 185/869 quickly i.e. 107670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/937, 222/942, 185/869 is 107670.

LCM(970/937, 222/942, 185/869) = 107670

LCM of 970/937, 222/942, 185/869

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 970/937,222/942,185/869

Given numbers are 970/937,222/942,185/869

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 970,222,185

Least Common Multiple of Numerators i.e. LCM of 970,222,185 is 107670.

GCF of Denominators means GCF of 937,942,869 as per the given fractions.

GCF of 937,942,869 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,222,185

LCM of Fractions 970/937,222/942,185/869 is 107670

2 970, 222, 185
5 485, 111, 185
37 97, 111, 37
97, 3, 1

∴ So the LCM of the given numbers is 2 x 5 x 37 x 97 x 3 x 1 = 107670

Least Common Multiple of 970,222,185 with GCF Formula

Least Common Multiple of 970,222,185 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 970,222,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,222,185) = 1

common factors(in case of two or more numbers have common factors) = 370

GCF(970,222,185) x common factors =1 x 370 = 370

LCM(970,222,185) = ( 970 × 222 × 185 ) / 370

LCM(970,222,185) = 39837900 / 370

LCM(970,222,185) = 107670


Lets's calculate GCF of 937,942,869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107670/1

Therefore the LCM of Fractions 970/937,222/942,185/869 is 107670

Greatest Common Factor of 937,942,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 937,942,869 By Matching Biggest Common Factor Method

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 937,942,869 . The biggest common factor number is the GCF number.
So the greatest common factor 937,942,869 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 970/937, 222/942, 185/869

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 970/937, 222/942, 185/869?

Answer: LCM of Numerators as per given numbers 970/937, 222/942, 185/869 is

LCM of Numerators i.e. for 970,222,185 is 107670

GCF of denominators i.e. for 937,942,869 is 1.

Thus, LCM of Fractions is 107670.Finally, LCM of Fractions for 970/937, 222/942, 185/869 is 107670.