Least Common Multiple of 35/105, 299/840, 870/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/105, 299/840, 870/889 quickly i.e. 260130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/105, 299/840, 870/889 is 260130.

LCM(35/105, 299/840, 870/889) = 260130

LCM of 35/105, 299/840, 870/889

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 35/105,299/840,870/889

Given numbers are 35/105,299/840,870/889

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 35,299,870

Least Common Multiple of Numerators i.e. LCM of 35,299,870 is 1820910.

GCF of Denominators means GCF of 105,840,889 as per the given fractions.

GCF of 105,840,889 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,299,870

LCM of Fractions 35/105,299/840,870/889 is 260130

5 35, 299, 870
7, 299, 174

∴ So the LCM of the given numbers is 5 x 7 x 299 x 174 = 1820910

Least Common Multiple of 35,299,870 with GCF Formula

Least Common Multiple of 35,299,870 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 35,299,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,299,870) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,299,870) x common factors =1 x 5 = 5

LCM(35,299,870) = ( 35 × 299 × 870 ) / 5

LCM(35,299,870) = 9104550 / 5

LCM(35,299,870) = 1820910


Lets's calculate GCF of 105,840,889

7 105, 840, 889
15, 120, 127

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1820910/7

Therefore the LCM of Fractions 35/105,299/840,870/889 is 260130

Greatest Common Factor of 105,840,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,840,889 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 105,840,889 . The biggest common factor number is the GCF number.
So the greatest common factor 105,840,889 is 7.


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 35/105, 299/840, 870/889

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 35/105, 299/840, 870/889?

Answer: LCM of Numerators as per given numbers 35/105, 299/840, 870/889 is

LCM of Numerators i.e. for 35,299,870 is 1820910

GCF of denominators i.e. for 105,840,889 is 7.

Thus, LCM of Fractions is 260130.Finally, LCM of Fractions for 35/105, 299/840, 870/889 is 260130.